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Finding the Fourth Proportional to 306.39, 423.03 and 212.97

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Solution

The fourth proportional to 306.39, 423.03 and 212.97 is: 294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.39 : 423.03 = 212.97 : x
  2. Step 2: Convert to fraction form
    306.39/423.03 = 212.97/x
  3. Step 3: Cross multiply
    306.39x = 423.03 × 212.97
  4. Step 4: Simplify right side
    306.39x = 90,092.70
  5. Step 5: Solve for x
    x = 90,092.70/306.39
  6. Step 6: Final answer
    x = 294.05

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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.