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Finding the Fourth Proportional to 305.88, 422.33 and 240.27

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Solution

The fourth proportional to 305.88, 422.33 and 240.27 is: 331.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.88 : 422.33 = 240.27 : x
  2. Step 2: Convert to fraction form
    305.88/422.33 = 240.27/x
  3. Step 3: Cross multiply
    305.88x = 422.33 × 240.27
  4. Step 4: Simplify right side
    305.88x = 101,472.03
  5. Step 5: Solve for x
    x = 101,472.03/305.88
  6. Step 6: Final answer
    x = 331.74

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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.