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Finding the Fourth Proportional to 317.38, 472.82 and 301.88

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Solution

The fourth proportional to 317.38, 472.82 and 301.88 is: 449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.38 : 472.82 = 301.88 : x
  2. Step 2: Convert to fraction form
    317.38/472.82 = 301.88/x
  3. Step 3: Cross multiply
    317.38x = 472.82 × 301.88
  4. Step 4: Simplify right side
    317.38x = 142,734.90
  5. Step 5: Solve for x
    x = 142,734.90/317.38
  6. Step 6: Final answer
    x = 449.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.