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Finding the Fourth Proportional to 477.25, 658.56 and 267.39

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Solution

The fourth proportional to 477.25, 658.56 and 267.39 is: 368.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.25 : 658.56 = 267.39 : x
  2. Step 2: Convert to fraction form
    477.25/658.56 = 267.39/x
  3. Step 3: Cross multiply
    477.25x = 658.56 × 267.39
  4. Step 4: Simplify right side
    477.25x = 176,092.36
  5. Step 5: Solve for x
    x = 176,092.36/477.25
  6. Step 6: Final answer
    x = 368.97

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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.