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Finding the Fourth Proportional to 477.12, 658.36 and 267.28

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Solution

The fourth proportional to 477.12, 658.36 and 267.28 is: 368.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.12 : 658.36 = 267.28 : x
  2. Step 2: Convert to fraction form
    477.12/658.36 = 267.28/x
  3. Step 3: Cross multiply
    477.12x = 658.36 × 267.28
  4. Step 4: Simplify right side
    477.12x = 175,966.46
  5. Step 5: Solve for x
    x = 175,966.46/477.12
  6. Step 6: Final answer
    x = 368.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.