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Finding the Fourth Proportional to 318.08, 439.52 and 253.12

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Solution

The fourth proportional to 318.08, 439.52 and 253.12 is: 349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.08 : 439.52 = 253.12 : x
  2. Step 2: Convert to fraction form
    318.08/439.52 = 253.12/x
  3. Step 3: Cross multiply
    318.08x = 439.52 × 253.12
  4. Step 4: Simplify right side
    318.08x = 111,251.30
  5. Step 5: Solve for x
    x = 111,251.30/318.08
  6. Step 6: Final answer
    x = 349.76

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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.