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Finding the Fourth Proportional to 477.18, 658.67 and 280.69

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Solution

The fourth proportional to 477.18, 658.67 and 280.69 is: 387.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.18 : 658.67 = 280.69 : x
  2. Step 2: Convert to fraction form
    477.18/658.67 = 280.69/x
  3. Step 3: Cross multiply
    477.18x = 658.67 × 280.69
  4. Step 4: Simplify right side
    477.18x = 184,882.08
  5. Step 5: Solve for x
    x = 184,882.08/477.18
  6. Step 6: Final answer
    x = 387.45

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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.