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Finding the Fourth Proportional to 477.38, 658.46 and 280.74

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Solution

The fourth proportional to 477.38, 658.46 and 280.74 is: 387.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.38 : 658.46 = 280.74 : x
  2. Step 2: Convert to fraction form
    477.38/658.46 = 280.74/x
  3. Step 3: Cross multiply
    477.38x = 658.46 × 280.74
  4. Step 4: Simplify right side
    477.38x = 184,856.06
  5. Step 5: Solve for x
    x = 184,856.06/477.38
  6. Step 6: Final answer
    x = 387.23

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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.