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Finding the Fourth Proportional to 397.12, 548.06 and 231.40

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Solution

The fourth proportional to 397.12, 548.06 and 231.40 is: 319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.12 : 548.06 = 231.40 : x
  2. Step 2: Convert to fraction form
    397.12/548.06 = 231.40/x
  3. Step 3: Cross multiply
    397.12x = 548.06 × 231.40
  4. Step 4: Simplify right side
    397.12x = 126,821.08
  5. Step 5: Solve for x
    x = 126,821.08/397.12
  6. Step 6: Final answer
    x = 319.35

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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.