Using mathematical tables, calculate (364.6)3 and (0.6492)2.

The characteristic of $\log(364.6)$ is 2 (since there are 3 digits before the decimal point, $3-1=2$).
From the logarithm table, the mantissa for 364 is 5611.
The mean difference for 6 is 7.
So, the mantissa for 364.6 is $5611 + 7 = 5618$.

$$\log(364.6) = 2.5618$$

$$\log X = 3 \times \log(364.6)$$ $$\log X = 3 \times 2.5618$$ $$\log X = 7.6854$$

The characteristic is 7, so the number will have $7+1=8$ digits before the decimal point.
From the antilogarithm table, the antilog of 0.685 is 4.842.
The mean difference for 4 is 5.
So, the antilog of 0.6854 is $4.842 + 0.005 = 4.847$.

$$X = 4.847 \times 10^7$$ $$X = 48,470,000$$

The value is $\boxed{48,470,000}$.

The characteristic of $\log(0.6492)$ is $\bar{1}$ (since there is one zero immediately after the decimal point, $0-1=-1$).
From the logarithm table, the mantissa for 649 is 8122.
The mean difference for 2 is 1.
So, the mantissa for 0.6492 is $8122 + 1 = 8123$.

$$\log(0.6492) = \bar{1}.8123$$

$$\log Y = 2 \times \log(0.6492)$$ $$\log Y = 2 \times (\bar{1} + 0.8123)$$ $$\log Y = -2 + 1.6246$$ $$\log Y = -1 + 0.6246$$ $$\log Y = \bar{1}.6246$$

The characteristic is $\bar{1}$, so the number will have one zero before the first non-zero digit.
From the antilogarithm table, the antilog of 0.624 is 4.207.
The mean difference for 6 is 6.
So, the antilog of 0.6246 is $4.207 + 0.006 = 4.213$.

$$Y = 0.4213$$

The value is $\boxed{0.4213}$.