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Finding the Fourth Proportional to 506.06, 759.09 and 231.97

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Solution

The fourth proportional to 506.06, 759.09 and 231.97 is: 347.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.06 : 759.09 = 231.97 : x
  2. Step 2: Convert to fraction form
    506.06/759.09 = 231.97/x
  3. Step 3: Cross multiply
    506.06x = 759.09 × 231.97
  4. Step 4: Simplify right side
    506.06x = 176,086.11
  5. Step 5: Solve for x
    x = 176,086.11/506.06
  6. Step 6: Final answer
    x = 347.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.