I don't understand how this ever passed inspection.
The simple answer is it passed inspection because it is grandfathered. Heck, in some sense, a properly installed fuse panel is better than a breaker. Breakers get hung, fuses don't lol. The biggest issue is going to be capacity. If it's only, say, 60 amp service and you are a gadget whore you might have issues.
There are a lot of homes in the U.S. that still have fuse boxes. If you don't have the $$ for an upgrade, I'd have an electrician you trust inspect it, make sure the components are sound and move on until you are ready to make major upgrades.