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Finding the Fourth Proportional to 477.18, 658.28 and 280.66

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Solution

The fourth proportional to 477.18, 658.28 and 280.66 is: 387.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.18 : 658.28 = 280.66 : x
  2. Step 2: Convert to fraction form
    477.18/658.28 = 280.66/x
  3. Step 3: Cross multiply
    477.18x = 658.28 × 280.66
  4. Step 4: Simplify right side
    477.18x = 184,752.86
  5. Step 5: Solve for x
    x = 184,752.86/477.18
  6. Step 6: Final answer
    x = 387.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.