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Finding the Fourth Proportional to 297.92, 410.70 and 224.12

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Solution

The fourth proportional to 297.92, 410.70 and 224.12 is: 308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.92 : 410.70 = 224.12 : x
  2. Step 2: Convert to fraction form
    297.92/410.70 = 224.12/x
  3. Step 3: Cross multiply
    297.92x = 410.70 × 224.12
  4. Step 4: Simplify right side
    297.92x = 92,046.08
  5. Step 5: Solve for x
    x = 92,046.08/297.92
  6. Step 6: Final answer
    x = 308.96

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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.