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Finding the Fourth Proportional to 318.87, 439.62 and 230.48

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Solution

The fourth proportional to 318.87, 439.62 and 230.48 is: 317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.87 : 439.62 = 230.48 : x
  2. Step 2: Convert to fraction form
    318.87/439.62 = 230.48/x
  3. Step 3: Cross multiply
    318.87x = 439.62 × 230.48
  4. Step 4: Simplify right side
    318.87x = 101,321.42
  5. Step 5: Solve for x
    x = 101,321.42/318.87
  6. Step 6: Final answer
    x = 317.75

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Why These Related Problems?

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