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Finding the Fourth Proportional to 674.43, 930.02 and 477.87

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Solution

The fourth proportional to 674.43, 930.02 and 477.87 is: 658.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.43 : 930.02 = 477.87 : x
  2. Step 2: Convert to fraction form
    674.43/930.02 = 477.87/x
  3. Step 3: Cross multiply
    674.43x = 930.02 × 477.87
  4. Step 4: Simplify right side
    674.43x = 444,426.27
  5. Step 5: Solve for x
    x = 444,426.27/674.43
  6. Step 6: Final answer
    x = 658.97

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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.