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Finding the Fourth Proportional to 397.09, 547.95 and 231.31

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Solution

The fourth proportional to 397.09, 547.95 and 231.31 is: 319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.09 : 547.95 = 231.31 : x
  2. Step 2: Convert to fraction form
    397.09/547.95 = 231.31/x
  3. Step 3: Cross multiply
    397.09x = 547.95 × 231.31
  4. Step 4: Simplify right side
    397.09x = 126,746.31
  5. Step 5: Solve for x
    x = 126,746.31/397.09
  6. Step 6: Final answer
    x = 319.19

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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.