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Finding the Fourth Proportional to 506.71, 759.83 and 232.88

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Solution

The fourth proportional to 506.71, 759.83 and 232.88 is: 349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.71 : 759.83 = 232.88 : x
  2. Step 2: Convert to fraction form
    506.71/759.83 = 232.88/x
  3. Step 3: Cross multiply
    506.71x = 759.83 × 232.88
  4. Step 4: Simplify right side
    506.71x = 176,945.56
  5. Step 5: Solve for x
    x = 176,945.56/506.71
  6. Step 6: Final answer
    x = 349.21

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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.