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Finding the Fourth Proportional to 578.72, 868.28 and 254.30

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Solution

The fourth proportional to 578.72, 868.28 and 254.30 is: 381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.72 : 868.28 = 254.30 : x
  2. Step 2: Convert to fraction form
    578.72/868.28 = 254.30/x
  3. Step 3: Cross multiply
    578.72x = 868.28 × 254.30
  4. Step 4: Simplify right side
    578.72x = 220,803.60
  5. Step 5: Solve for x
    x = 220,803.60/578.72
  6. Step 6: Final answer
    x = 381.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.