I assume you are talking about a true 120V AC powered residential fridge and not a 12V DC compressor fridge.
Size makes a difference, but a moderate size 12 cu ft residential fridge should consume roughly 100 amp hours of 12V DC in 24 hours.
Let's assume your 4 house batteries are 100 amp hours each. Your 450 watts of solar wil put out 100-150 amp hours daily in average summer sun.
So your solar panels should barely keep up if that is the only load but it isn't. Lights, water pump, fans, device charging, etc. all adds up to maybe another 25 amp hours daily.
But as a worst, worst case, you have a 175 Ah demand and a 100 Ah solar supply so you are short 75 Ahs which your 400 Ah standard, not Lithium should be able to cover for 2-3 days before going below 50%. As a best, best case you have a 125 Ah demand and your solar puts out and average of 150 Ah. In this case you can go forever.
This of course assumes you are camping in the sun.
David
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