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Finding the Fourth Proportional to 297.73, 410.34 and 281.31

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Solution

The fourth proportional to 297.73, 410.34 and 281.31 is: 387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.73 : 410.34 = 281.31 : x
  2. Step 2: Convert to fraction form
    297.73/410.34 = 281.31/x
  3. Step 3: Cross multiply
    297.73x = 410.34 × 281.31
  4. Step 4: Simplify right side
    297.73x = 115,432.75
  5. Step 5: Solve for x
    x = 115,432.75/297.73
  6. Step 6: Final answer
    x = 387.71

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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.