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Finding the Fourth Proportional to 477.16, 658.46 and 280.80

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Solution

The fourth proportional to 477.16, 658.46 and 280.80 is: 387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.16 : 658.46 = 280.80 : x
  2. Step 2: Convert to fraction form
    477.16/658.46 = 280.80/x
  3. Step 3: Cross multiply
    477.16x = 658.46 × 280.80
  4. Step 4: Simplify right side
    477.16x = 184,896.27
  5. Step 5: Solve for x
    x = 184,896.27/477.16
  6. Step 6: Final answer
    x = 387.50

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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.