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Finding the Fourth Proportional to 488.52, 674.13 and 267.47

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Solution

The fourth proportional to 488.52, 674.13 and 267.47 is: 369.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.52 : 674.13 = 267.47 : x
  2. Step 2: Convert to fraction form
    488.52/674.13 = 267.47/x
  3. Step 3: Cross multiply
    488.52x = 674.13 × 267.47
  4. Step 4: Simplify right side
    488.52x = 180,306.18
  5. Step 5: Solve for x
    x = 180,306.18/488.52
  6. Step 6: Final answer
    x = 369.09

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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.