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Finding the Fourth Proportional to 306.62, 423.17 and 213.34

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Solution

The fourth proportional to 306.62, 423.17 and 213.34 is: 294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.62 : 423.17 = 213.34 : x
  2. Step 2: Convert to fraction form
    306.62/423.17 = 213.34/x
  3. Step 3: Cross multiply
    306.62x = 423.17 × 213.34
  4. Step 4: Simplify right side
    306.62x = 90,279.09
  5. Step 5: Solve for x
    x = 90,279.09/306.62
  6. Step 6: Final answer
    x = 294.43

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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.