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Finding the Fourth Proportional to 477.32, 658.78 and 280.84

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Solution

The fourth proportional to 477.32, 658.78 and 280.84 is: 387.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.32 : 658.78 = 280.84 : x
  2. Step 2: Convert to fraction form
    477.32/658.78 = 280.84/x
  3. Step 3: Cross multiply
    477.32x = 658.78 × 280.84
  4. Step 4: Simplify right side
    477.32x = 185,011.78
  5. Step 5: Solve for x
    x = 185,011.78/477.32
  6. Step 6: Final answer
    x = 387.61

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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.