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Finding the Fourth Proportional to 331.44, 496.23 and 279.96

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Solution

The fourth proportional to 331.44, 496.23 and 279.96 is: 419.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.44 : 496.23 = 279.96 : x
  2. Step 2: Convert to fraction form
    331.44/496.23 = 279.96/x
  3. Step 3: Cross multiply
    331.44x = 496.23 × 279.96
  4. Step 4: Simplify right side
    331.44x = 138,924.55
  5. Step 5: Solve for x
    x = 138,924.55/331.44
  6. Step 6: Final answer
    x = 419.15

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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.