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Finding the Fourth Proportional to 578.72, 868.08 and 145.88

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Solution

The fourth proportional to 578.72, 868.08 and 145.88 is: 218.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.72 : 868.08 = 145.88 : x
  2. Step 2: Convert to fraction form
    578.72/868.08 = 145.88/x
  3. Step 3: Cross multiply
    578.72x = 868.08 × 145.88
  4. Step 4: Simplify right side
    578.72x = 126,630.44
  5. Step 5: Solve for x
    x = 126,630.44/578.72
  6. Step 6: Final answer
    x = 218.81

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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.