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Finding the Fourth Proportional to 477.52, 658.77 and 281.02

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Solution

The fourth proportional to 477.52, 658.77 and 281.02 is: 387.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.52 : 658.77 = 281.02 : x
  2. Step 2: Convert to fraction form
    477.52/658.77 = 281.02/x
  3. Step 3: Cross multiply
    477.52x = 658.77 × 281.02
  4. Step 4: Simplify right side
    477.52x = 185,127.55
  5. Step 5: Solve for x
    x = 185,127.55/477.52
  6. Step 6: Final answer
    x = 387.69

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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.