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Finding the Fourth Proportional to 658.25, 985.76 and 426.44

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Solution

The fourth proportional to 658.25, 985.76 and 426.44 is: 638.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.25 : 985.76 = 426.44 : x
  2. Step 2: Convert to fraction form
    658.25/985.76 = 426.44/x
  3. Step 3: Cross multiply
    658.25x = 985.76 × 426.44
  4. Step 4: Simplify right side
    658.25x = 420,367.49
  5. Step 5: Solve for x
    x = 420,367.49/658.25
  6. Step 6: Final answer
    x = 638.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.