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Finding the Fourth Proportional to 477.14, 658.44 and 267.30

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Solution

The fourth proportional to 477.14, 658.44 and 267.30 is: 368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.14 : 658.44 = 267.30 : x
  2. Step 2: Convert to fraction form
    477.14/658.44 = 267.30/x
  3. Step 3: Cross multiply
    477.14x = 658.44 × 267.30
  4. Step 4: Simplify right side
    477.14x = 176,001.01
  5. Step 5: Solve for x
    x = 176,001.01/477.14
  6. Step 6: Final answer
    x = 368.87

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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.