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Finding the Fourth Proportional to 578.78, 868.20 and 213.50

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Solution

The fourth proportional to 578.78, 868.20 and 213.50 is: 320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.78 : 868.20 = 213.50 : x
  2. Step 2: Convert to fraction form
    578.78/868.20 = 213.50/x
  3. Step 3: Cross multiply
    578.78x = 868.20 × 213.50
  4. Step 4: Simplify right side
    578.78x = 185,360.70
  5. Step 5: Solve for x
    x = 185,360.70/578.78
  6. Step 6: Final answer
    x = 320.26

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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.