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Finding the Fourth Proportional to 658.38, 986.88 and 414.56

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Solution

The fourth proportional to 658.38, 986.88 and 414.56 is: 621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.38 : 986.88 = 414.56 : x
  2. Step 2: Convert to fraction form
    658.38/986.88 = 414.56/x
  3. Step 3: Cross multiply
    658.38x = 986.88 × 414.56
  4. Step 4: Simplify right side
    658.38x = 409,120.97
  5. Step 5: Solve for x
    x = 409,120.97/658.38
  6. Step 6: Final answer
    x = 621.41

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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.