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Finding the Fourth Proportional to 532.67, 732.96 and 408.29

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Solution

The fourth proportional to 532.67, 732.96 and 408.29 is: 561.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.67 : 732.96 = 408.29 : x
  2. Step 2: Convert to fraction form
    532.67/732.96 = 408.29/x
  3. Step 3: Cross multiply
    532.67x = 732.96 × 408.29
  4. Step 4: Simplify right side
    532.67x = 299,254.53
  5. Step 5: Solve for x
    x = 299,254.53/532.67
  6. Step 6: Final answer
    x = 561.80

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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.