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Finding the Fourth Proportional to 477.15, 658.44 and 267.31

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Solution

The fourth proportional to 477.15, 658.44 and 267.31 is: 368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.15 : 658.44 = 267.31 : x
  2. Step 2: Convert to fraction form
    477.15/658.44 = 267.31/x
  3. Step 3: Cross multiply
    477.15x = 658.44 × 267.31
  4. Step 4: Simplify right side
    477.15x = 176,007.60
  5. Step 5: Solve for x
    x = 176,007.60/477.15
  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.