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Finding the Fourth Proportional to 578.96, 868.66 and 213.78

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Solution

The fourth proportional to 578.96, 868.66 and 213.78 is: 320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.96 : 868.66 = 213.78 : x
  2. Step 2: Convert to fraction form
    578.96/868.66 = 213.78/x
  3. Step 3: Cross multiply
    578.96x = 868.66 × 213.78
  4. Step 4: Simplify right side
    578.96x = 185,702.13
  5. Step 5: Solve for x
    x = 185,702.13/578.96
  6. Step 6: Final answer
    x = 320.75

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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.