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Finding the Fourth Proportional to 297.96, 446.46 and 216.42

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Solution

The fourth proportional to 297.96, 446.46 and 216.42 is: 324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.96 : 446.46 = 216.42 : x
  2. Step 2: Convert to fraction form
    297.96/446.46 = 216.42/x
  3. Step 3: Cross multiply
    297.96x = 446.46 × 216.42
  4. Step 4: Simplify right side
    297.96x = 96,622.87
  5. Step 5: Solve for x
    x = 96,622.87/297.96
  6. Step 6: Final answer
    x = 324.28

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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.