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Finding the Fourth Proportional to 397.32, 548.24 and 231.53

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Solution

The fourth proportional to 397.32, 548.24 and 231.53 is: 319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.32 : 548.24 = 231.53 : x
  2. Step 2: Convert to fraction form
    397.32/548.24 = 231.53/x
  3. Step 3: Cross multiply
    397.32x = 548.24 × 231.53
  4. Step 4: Simplify right side
    397.32x = 126,934.01
  5. Step 5: Solve for x
    x = 126,934.01/397.32
  6. Step 6: Final answer
    x = 319.48

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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.