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Finding the Fourth Proportional to 397.24, 548.34 and 249.88

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Solution

The fourth proportional to 397.24, 548.34 and 249.88 is: 344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.24 : 548.34 = 249.88 : x
  2. Step 2: Convert to fraction form
    397.24/548.34 = 249.88/x
  3. Step 3: Cross multiply
    397.24x = 548.34 × 249.88
  4. Step 4: Simplify right side
    397.24x = 137,019.20
  5. Step 5: Solve for x
    x = 137,019.20/397.24
  6. Step 6: Final answer
    x = 344.93

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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.