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Finding the Fourth Proportional to 531.59, 732.96 and 457.78

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Solution

The fourth proportional to 531.59, 732.96 and 457.78 is: 631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.59 : 732.96 = 457.78 : x
  2. Step 2: Convert to fraction form
    531.59/732.96 = 457.78/x
  3. Step 3: Cross multiply
    531.59x = 732.96 × 457.78
  4. Step 4: Simplify right side
    531.59x = 335,534.43
  5. Step 5: Solve for x
    x = 335,534.43/531.59
  6. Step 6: Final answer
    x = 631.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.