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Finding the Fourth Proportional to 579.24, 868.32 and 213.78

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Solution

The fourth proportional to 579.24, 868.32 and 213.78 is: 320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.24 : 868.32 = 213.78 : x
  2. Step 2: Convert to fraction form
    579.24/868.32 = 213.78/x
  3. Step 3: Cross multiply
    579.24x = 868.32 × 213.78
  4. Step 4: Simplify right side
    579.24x = 185,629.45
  5. Step 5: Solve for x
    x = 185,629.45/579.24
  6. Step 6: Final answer
    x = 320.47

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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.