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Finding the Fourth Proportional to 318.09, 439.11 and 231.42

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Solution

The fourth proportional to 318.09, 439.11 and 231.42 is: 319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.09 : 439.11 = 231.42 : x
  2. Step 2: Convert to fraction form
    318.09/439.11 = 231.42/x
  3. Step 3: Cross multiply
    318.09x = 439.11 × 231.42
  4. Step 4: Simplify right side
    318.09x = 101,618.84
  5. Step 5: Solve for x
    x = 101,618.84/318.09
  6. Step 6: Final answer
    x = 319.47

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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.