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Finding the Fourth Proportional to 306.34, 422.47 and 240.73

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Solution

The fourth proportional to 306.34, 422.47 and 240.73 is: 331.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.34 : 422.47 = 240.73 : x
  2. Step 2: Convert to fraction form
    306.34/422.47 = 240.73/x
  3. Step 3: Cross multiply
    306.34x = 422.47 × 240.73
  4. Step 4: Simplify right side
    306.34x = 101,702.31
  5. Step 5: Solve for x
    x = 101,702.31/306.34
  6. Step 6: Final answer
    x = 331.99

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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.