You don't really give us anything to go on here in terms of where these valves are (downstream a pressure regulator?), what the design code is for you facility piping ( B31.1 or 31.3?), Design pressure / MAWP of whatever it is you're protecting and what your set pressures are.
As said above, when you have need for more than one valve then you need to stagger the set pressures to avoid chatter, but within limits.
If this is a pipeline inlet I'm very surprised if the volume flow for a fire case is more than a blocked discharge case.
Remember - More details = better answers
Also: If you get a response it's polite to respond to it.