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Finding the Fourth Proportional to 391.20, 540.54 and 308.97

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Solution

The fourth proportional to 391.20, 540.54 and 308.97 is: 426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.20 : 540.54 = 308.97 : x
  2. Step 2: Convert to fraction form
    391.20/540.54 = 308.97/x
  3. Step 3: Cross multiply
    391.20x = 540.54 × 308.97
  4. Step 4: Simplify right side
    391.20x = 167,010.64
  5. Step 5: Solve for x
    x = 167,010.64/391.20
  6. Step 6: Final answer
    x = 426.92

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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.