Finding the Fourth Proportional to 523.56, 785.34 and 447.04
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Solution
The fourth proportional to 523.56, 785.34 and 447.04 is: 670.56
Step by Step Solution
- Step 1: Write the proportion equation
523.56 : 785.34 = 447.04 : x - Step 2: Convert to fraction form
523.56/785.34 = 447.04/x - Step 3: Cross multiply
523.56x = 785.34 × 447.04 - Step 4: Simplify right side
523.56x = 351,078.39 - Step 5: Solve for x
x = 351,078.39/523.56 - Step 6: Final answer
x = 670.56
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.