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Finding the Fourth Proportional to 318.72, 439.92 and 261.12

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Solution

The fourth proportional to 318.72, 439.92 and 261.12 is: 360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.72 : 439.92 = 261.12 : x
  2. Step 2: Convert to fraction form
    318.72/439.92 = 261.12/x
  3. Step 3: Cross multiply
    318.72x = 439.92 × 261.12
  4. Step 4: Simplify right side
    318.72x = 114,871.91
  5. Step 5: Solve for x
    x = 114,871.91/318.72
  6. Step 6: Final answer
    x = 360.42

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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.