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Finding the Fourth Proportional to 323.96, 446.96 and 213.26

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Solution

The fourth proportional to 323.96, 446.96 and 213.26 is: 294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.96 : 446.96 = 213.26 : x
  2. Step 2: Convert to fraction form
    323.96/446.96 = 213.26/x
  3. Step 3: Cross multiply
    323.96x = 446.96 × 213.26
  4. Step 4: Simplify right side
    323.96x = 95,318.69
  5. Step 5: Solve for x
    x = 95,318.69/323.96
  6. Step 6: Final answer
    x = 294.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.