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Finding the Fourth Proportional to 579.16, 868.62 and 168.21

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Solution

The fourth proportional to 579.16, 868.62 and 168.21 is: 252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.16 : 868.62 = 168.21 : x
  2. Step 2: Convert to fraction form
    579.16/868.62 = 168.21/x
  3. Step 3: Cross multiply
    579.16x = 868.62 × 168.21
  4. Step 4: Simplify right side
    579.16x = 146,110.57
  5. Step 5: Solve for x
    x = 146,110.57/579.16
  6. Step 6: Final answer
    x = 252.28

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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.