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Finding the Fourth Proportional to 306.38, 422.13 and 292.47

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Solution

The fourth proportional to 306.38, 422.13 and 292.47 is: 402.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.38 : 422.13 = 292.47 : x
  2. Step 2: Convert to fraction form
    306.38/422.13 = 292.47/x
  3. Step 3: Cross multiply
    306.38x = 422.13 × 292.47
  4. Step 4: Simplify right side
    306.38x = 123,458.90
  5. Step 5: Solve for x
    x = 123,458.90/306.38
  6. Step 6: Final answer
    x = 402.97

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Why These Related Problems?

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