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Finding the Fourth Proportional to 397.16, 548.03 and 231.33

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Solution

The fourth proportional to 397.16, 548.03 and 231.33 is: 319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.16 : 548.03 = 231.33 : x
  2. Step 2: Convert to fraction form
    397.16/548.03 = 231.33/x
  3. Step 3: Cross multiply
    397.16x = 548.03 × 231.33
  4. Step 4: Simplify right side
    397.16x = 126,777.44
  5. Step 5: Solve for x
    x = 126,777.44/397.16
  6. Step 6: Final answer
    x = 319.21

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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.