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Finding the Fourth Proportional to 318.80, 439.80 and 231.44

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Solution

The fourth proportional to 318.80, 439.80 and 231.44 is: 319.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.80 : 439.80 = 231.44 : x
  2. Step 2: Convert to fraction form
    318.80/439.80 = 231.44/x
  3. Step 3: Cross multiply
    318.80x = 439.80 × 231.44
  4. Step 4: Simplify right side
    318.80x = 101,787.31
  5. Step 5: Solve for x
    x = 101,787.31/318.80
  6. Step 6: Final answer
    x = 319.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.