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Finding the Fourth Proportional to 297.29, 446.24 and 216.29

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Solution

The fourth proportional to 297.29, 446.24 and 216.29 is: 324.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.29 : 446.24 = 216.29 : x
  2. Step 2: Convert to fraction form
    297.29/446.24 = 216.29/x
  3. Step 3: Cross multiply
    297.29x = 446.24 × 216.29
  4. Step 4: Simplify right side
    297.29x = 96,513.94
  5. Step 5: Solve for x
    x = 96,513.94/297.29
  6. Step 6: Final answer
    x = 324.65

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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.