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Finding the Fourth Proportional to 506.73, 759.46 and 217.83

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Solution

The fourth proportional to 506.73, 759.46 and 217.83 is: 326.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.73 : 759.46 = 217.83 : x
  2. Step 2: Convert to fraction form
    506.73/759.46 = 217.83/x
  3. Step 3: Cross multiply
    506.73x = 759.46 × 217.83
  4. Step 4: Simplify right side
    506.73x = 165,433.17
  5. Step 5: Solve for x
    x = 165,433.17/506.73
  6. Step 6: Final answer
    x = 326.47

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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.