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Finding the Fourth Proportional to 331.18, 496.47 and 279.70

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Solution

The fourth proportional to 331.18, 496.47 and 279.70 is: 419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.18 : 496.47 = 279.70 : x
  2. Step 2: Convert to fraction form
    331.18/496.47 = 279.70/x
  3. Step 3: Cross multiply
    331.18x = 496.47 × 279.70
  4. Step 4: Simplify right side
    331.18x = 138,862.66
  5. Step 5: Solve for x
    x = 138,862.66/331.18
  6. Step 6: Final answer
    x = 419.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.