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Finding the Fourth Proportional to 532.53, 735.14 and 414.83

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Solution

The fourth proportional to 532.53, 735.14 and 414.83 is: 572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.53 : 735.14 = 414.83 : x
  2. Step 2: Convert to fraction form
    532.53/735.14 = 414.83/x
  3. Step 3: Cross multiply
    532.53x = 735.14 × 414.83
  4. Step 4: Simplify right side
    532.53x = 304,961.00
  5. Step 5: Solve for x
    x = 304,961.00/532.53
  6. Step 6: Final answer
    x = 572.66

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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.