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Finding the Fourth Proportional to 397.11, 547.76 and 249.62

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Solution

The fourth proportional to 397.11, 547.76 and 249.62 is: 344.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.11 : 547.76 = 249.62 : x
  2. Step 2: Convert to fraction form
    397.11/547.76 = 249.62/x
  3. Step 3: Cross multiply
    397.11x = 547.76 × 249.62
  4. Step 4: Simplify right side
    397.11x = 136,727.86
  5. Step 5: Solve for x
    x = 136,727.86/397.11
  6. Step 6: Final answer
    x = 344.31

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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.