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Finding the Fourth Proportional to 398.43, 549.92 and 251.27

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Solution

The fourth proportional to 398.43, 549.92 and 251.27 is: 346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.43 : 549.92 = 251.27 : x
  2. Step 2: Convert to fraction form
    398.43/549.92 = 251.27/x
  3. Step 3: Cross multiply
    398.43x = 549.92 × 251.27
  4. Step 4: Simplify right side
    398.43x = 138,175.65
  5. Step 5: Solve for x
    x = 138,175.65/398.43
  6. Step 6: Final answer
    x = 346.80

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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.