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Finding the Fourth Proportional to 578.53, 868.17 and 213.32

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Solution

The fourth proportional to 578.53, 868.17 and 213.32 is: 320.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.53 : 868.17 = 213.32 : x
  2. Step 2: Convert to fraction form
    578.53/868.17 = 213.32/x
  3. Step 3: Cross multiply
    578.53x = 868.17 × 213.32
  4. Step 4: Simplify right side
    578.53x = 185,198.02
  5. Step 5: Solve for x
    x = 185,198.02/578.53
  6. Step 6: Final answer
    x = 320.12

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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.