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Finding the Fourth Proportional to 578.71, 868.07 and 145.87

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Solution

The fourth proportional to 578.71, 868.07 and 145.87 is: 218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.71 : 868.07 = 145.87 : x
  2. Step 2: Convert to fraction form
    578.71/868.07 = 145.87/x
  3. Step 3: Cross multiply
    578.71x = 868.07 × 145.87
  4. Step 4: Simplify right side
    578.71x = 126,622.74
  5. Step 5: Solve for x
    x = 126,622.74/578.71
  6. Step 6: Final answer
    x = 218.80

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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.