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Finding the Fourth Proportional to 506.41, 759.51 and 232.44

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Solution

The fourth proportional to 506.41, 759.51 and 232.44 is: 348.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.41 : 759.51 = 232.44 : x
  2. Step 2: Convert to fraction form
    506.41/759.51 = 232.44/x
  3. Step 3: Cross multiply
    506.41x = 759.51 × 232.44
  4. Step 4: Simplify right side
    506.41x = 176,545.05
  5. Step 5: Solve for x
    x = 176,545.05/506.41
  6. Step 6: Final answer
    x = 348.62

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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.