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Finding the Fourth Proportional to 398.17, 549.38 and 232.42

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Solution

The fourth proportional to 398.17, 549.38 and 232.42 is: 320.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.17 : 549.38 = 232.42 : x
  2. Step 2: Convert to fraction form
    398.17/549.38 = 232.42/x
  3. Step 3: Cross multiply
    398.17x = 549.38 × 232.42
  4. Step 4: Simplify right side
    398.17x = 127,687.14
  5. Step 5: Solve for x
    x = 127,687.14/398.17
  6. Step 6: Final answer
    x = 320.69

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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.