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Finding the Fourth Proportional to 578.60, 868.02 and 254.12

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Solution

The fourth proportional to 578.60, 868.02 and 254.12 is: 381.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.60 : 868.02 = 254.12 : x
  2. Step 2: Convert to fraction form
    578.60/868.02 = 254.12/x
  3. Step 3: Cross multiply
    578.60x = 868.02 × 254.12
  4. Step 4: Simplify right side
    578.60x = 220,581.24
  5. Step 5: Solve for x
    x = 220,581.24/578.60
  6. Step 6: Final answer
    x = 381.23

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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.