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Finding the Fourth Proportional to 658.61, 987.49 and 411.20

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Solution

The fourth proportional to 658.61, 987.49 and 411.20 is: 616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.61 : 987.49 = 411.20 : x
  2. Step 2: Convert to fraction form
    658.61/987.49 = 411.20/x
  3. Step 3: Cross multiply
    658.61x = 987.49 × 411.20
  4. Step 4: Simplify right side
    658.61x = 406,057.94
  5. Step 5: Solve for x
    x = 406,057.94/658.61
  6. Step 6: Final answer
    x = 616.54

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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.