What is the RAL number that should be used in the background of a light cabinet?
I don’t have any way to convert from colorimetric quantities into RAL numbers. However, the most common color for light booths is a neutral gray with Munsell Value 7 (a light gray). In CIELAB that would translate into an L* of 70 and C* of 0 (hue is undefined for neutrals). You might be able to index into some RAL notations using the CIELAB values.