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Finding the Fourth Proportional to 323.80, 446.97 and 213.23

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Solution

The fourth proportional to 323.80, 446.97 and 213.23 is: 294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.80 : 446.97 = 213.23 : x
  2. Step 2: Convert to fraction form
    323.80/446.97 = 213.23/x
  3. Step 3: Cross multiply
    323.80x = 446.97 × 213.23
  4. Step 4: Simplify right side
    323.80x = 95,308.13
  5. Step 5: Solve for x
    x = 95,308.13/323.80
  6. Step 6: Final answer
    x = 294.34

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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.