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Finding the Fourth Proportional to 532.10, 732.47 and 461.18

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Solution

The fourth proportional to 532.10, 732.47 and 461.18 is: 634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.10 : 732.47 = 461.18 : x
  2. Step 2: Convert to fraction form
    532.10/732.47 = 461.18/x
  3. Step 3: Cross multiply
    532.10x = 732.47 × 461.18
  4. Step 4: Simplify right side
    532.10x = 337,803.50
  5. Step 5: Solve for x
    x = 337,803.50/532.10
  6. Step 6: Final answer
    x = 634.85

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