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Finding the Fourth Proportional to 318.97, 439.92 and 208.42

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Solution

The fourth proportional to 318.97, 439.92 and 208.42 is: 287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.97 : 439.92 = 208.42 : x
  2. Step 2: Convert to fraction form
    318.97/439.92 = 208.42/x
  3. Step 3: Cross multiply
    318.97x = 439.92 × 208.42
  4. Step 4: Simplify right side
    318.97x = 91,688.13
  5. Step 5: Solve for x
    x = 91,688.13/318.97
  6. Step 6: Final answer
    x = 287.45

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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.