To convert $(525.27)_8$ to hexadecimal, we first convert the octal number to binary and then to hexadecimal. Step 1: Convert octal to binary (each octal digit corresponds to 3 binary bits). $$ \begin{aligned} (525.27)_8 &= (101 \quad 010 \quad 101 . 010 \quad 111)_2 \\ &= (101010101.010111)_2 \end{aligned} $$ Step 2: Convert binary to hexadecimal (group into 4 bits starting from the radix point). $$ \begin{aligned} (101010101.010111)_2 &= (0001 \quad 0101 \quad 0101 . 0101 \quad 1100)_2 \\ &= (155.5C)_{16} \end{aligned} $$ Therefore, $(525.27)_8 = (155.5C)_{16}$.