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Finding the Fourth Proportional to 397.23, 548.24 and 231.47

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Solution

The fourth proportional to 397.23, 548.24 and 231.47 is: 319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.23 : 548.24 = 231.47 : x
  2. Step 2: Convert to fraction form
    397.23/548.24 = 231.47/x
  3. Step 3: Cross multiply
    397.23x = 548.24 × 231.47
  4. Step 4: Simplify right side
    397.23x = 126,897.21
  5. Step 5: Solve for x
    x = 126,897.21/397.23
  6. Step 6: Final answer
    x = 319.46

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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.