No way, you dont need a 350 amp fuse or even a 225. Nowhere near it.
You can go by the fuses on the amps, but you dont want to be right at that. For that amp, with 2 40s, you need an 80, which is the most common amperage fuse that people run. However, and this is a VERY small chance, if you crank it up HARD, you can pull that 80, and melt the fuse. My buddy's truck melted his 80 if he had it up loud, but his amp was also running 3 40 amp fuses (Zapco 650.6).
So, there is a 95% chance you would be fine with the standard 80 amp, but I would look for a 100 amp fuse.
Basically, to a certain extent, you want as little fuse as you can get away with. Which ideally means what your amps are, or slightly more. The smaller the fuse the faster it can blow and the less damage it will do as it blows. (in other words, if the cable gets a cut and shorts, it is the difference between "zap" and a small dark spot, or melted to **** and back and possible fire. A 350 amp fuse would be downright dangerous.
In the cases of stereos that DO need a huge fuse, you are generally better off with a good quality circuit breaker. I had a 200amp Stinger one I never got around to installing on my setup. I was going to put it at the battery and the ANL fuse holder after the second battery.
For instance, on my setup with 4 Zapco amps and the Zapco DSP, I ran a 200 amp fuse, and never popped it. I did have a 150 in there for a while, and never popped it, but I only had it in for a while and didnt crank it that hard. I think if I had been slamming the 1100.1 sub amp it may have popped it.
You will be fine on the standard 80 amp barrel fuse. Just run that. It will be a lot easier to find than 100 amp fuses. 95% of people that have an aftermarket stereo run a single 80.