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Finding the Fourth Proportional to 397.86, 548.92 and 232.10

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Solution

The fourth proportional to 397.86, 548.92 and 232.10 is: 320.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.86 : 548.92 = 232.10 : x
  2. Step 2: Convert to fraction form
    397.86/548.92 = 232.10/x
  3. Step 3: Cross multiply
    397.86x = 548.92 × 232.10
  4. Step 4: Simplify right side
    397.86x = 127,404.33
  5. Step 5: Solve for x
    x = 127,404.33/397.86
  6. Step 6: Final answer
    x = 320.22

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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.