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Finding the Fourth Proportional to 477.14, 658.44 and 267.33

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Solution

The fourth proportional to 477.14, 658.44 and 267.33 is: 368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.14 : 658.44 = 267.33 : x
  2. Step 2: Convert to fraction form
    477.14/658.44 = 267.33/x
  3. Step 3: Cross multiply
    477.14x = 658.44 × 267.33
  4. Step 4: Simplify right side
    477.14x = 176,020.77
  5. Step 5: Solve for x
    x = 176,020.77/477.14
  6. Step 6: Final answer
    x = 368.91

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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.