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Finding the Fourth Proportional to 506.43, 759.43 and 213.74

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Solution

The fourth proportional to 506.43, 759.43 and 213.74 is: 320.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.43 : 759.43 = 213.74 : x
  2. Step 2: Convert to fraction form
    506.43/759.43 = 213.74/x
  3. Step 3: Cross multiply
    506.43x = 759.43 × 213.74
  4. Step 4: Simplify right side
    506.43x = 162,320.57
  5. Step 5: Solve for x
    x = 162,320.57/506.43
  6. Step 6: Final answer
    x = 320.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.