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Finding the Fourth Proportional to 397.07, 547.94 and 231.27

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Solution

The fourth proportional to 397.07, 547.94 and 231.27 is: 319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.07 : 547.94 = 231.27 : x
  2. Step 2: Convert to fraction form
    397.07/547.94 = 231.27/x
  3. Step 3: Cross multiply
    397.07x = 547.94 × 231.27
  4. Step 4: Simplify right side
    397.07x = 126,720.93
  5. Step 5: Solve for x
    x = 126,720.93/397.07
  6. Step 6: Final answer
    x = 319.14

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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.