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Finding the Fourth Proportional to 297.92, 447.42 and 216.38

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Solution

The fourth proportional to 297.92, 447.42 and 216.38 is: 324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.92 : 447.42 = 216.38 : x
  2. Step 2: Convert to fraction form
    297.92/447.42 = 216.38/x
  3. Step 3: Cross multiply
    297.92x = 447.42 × 216.38
  4. Step 4: Simplify right side
    297.92x = 96,812.74
  5. Step 5: Solve for x
    x = 96,812.74/297.92
  6. Step 6: Final answer
    x = 324.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.