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Finding the Fourth Proportional to 578.80, 868.08 and 254.08

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Solution

The fourth proportional to 578.80, 868.08 and 254.08 is: 381.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.80 : 868.08 = 254.08 : x
  2. Step 2: Convert to fraction form
    578.80/868.08 = 254.08/x
  3. Step 3: Cross multiply
    578.80x = 868.08 × 254.08
  4. Step 4: Simplify right side
    578.80x = 220,561.77
  5. Step 5: Solve for x
    x = 220,561.77/578.80
  6. Step 6: Final answer
    x = 381.07

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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.