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Finding the Fourth Proportional to 318.98, 477.66 and 270.38

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Solution

The fourth proportional to 318.98, 477.66 and 270.38 is: 404.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.98 : 477.66 = 270.38 : x
  2. Step 2: Convert to fraction form
    318.98/477.66 = 270.38/x
  3. Step 3: Cross multiply
    318.98x = 477.66 × 270.38
  4. Step 4: Simplify right side
    318.98x = 129,149.71
  5. Step 5: Solve for x
    x = 129,149.71/318.98
  6. Step 6: Final answer
    x = 404.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.