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Finding the Fourth Proportional to 506.48, 759.72 and 217.74

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Solution

The fourth proportional to 506.48, 759.72 and 217.74 is: 326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.48 : 759.72 = 217.74 : x
  2. Step 2: Convert to fraction form
    506.48/759.72 = 217.74/x
  3. Step 3: Cross multiply
    506.48x = 759.72 × 217.74
  4. Step 4: Simplify right side
    506.48x = 165,421.43
  5. Step 5: Solve for x
    x = 165,421.43/506.48
  6. Step 6: Final answer
    x = 326.61

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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.