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Finding the Fourth Proportional to 397.17, 547.86 and 231.36

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Solution

The fourth proportional to 397.17, 547.86 and 231.36 is: 319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.17 : 547.86 = 231.36 : x
  2. Step 2: Convert to fraction form
    397.17/547.86 = 231.36/x
  3. Step 3: Cross multiply
    397.17x = 547.86 × 231.36
  4. Step 4: Simplify right side
    397.17x = 126,752.89
  5. Step 5: Solve for x
    x = 126,752.89/397.17
  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.