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Finding the Fourth Proportional to 397.06, 547.83 and 231.22

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Solution

The fourth proportional to 397.06, 547.83 and 231.22 is: 319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.06 : 547.83 = 231.22 : x
  2. Step 2: Convert to fraction form
    397.06/547.83 = 231.22/x
  3. Step 3: Cross multiply
    397.06x = 547.83 × 231.22
  4. Step 4: Simplify right side
    397.06x = 126,669.25
  5. Step 5: Solve for x
    x = 126,669.25/397.06
  6. Step 6: Final answer
    x = 319.02

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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.