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Finding the Fourth Proportional to 506.38, 759.91 and 217.84

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Solution

The fourth proportional to 506.38, 759.91 and 217.84 is: 326.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.38 : 759.91 = 217.84 : x
  2. Step 2: Convert to fraction form
    506.38/759.91 = 217.84/x
  3. Step 3: Cross multiply
    506.38x = 759.91 × 217.84
  4. Step 4: Simplify right side
    506.38x = 165,538.79
  5. Step 5: Solve for x
    x = 165,538.79/506.38
  6. Step 6: Final answer
    x = 326.91

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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.