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Finding the Fourth Proportional to 578.98, 868.47 and 254.35

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Solution

The fourth proportional to 578.98, 868.47 and 254.35 is: 381.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.98 : 868.47 = 254.35 : x
  2. Step 2: Convert to fraction form
    578.98/868.47 = 254.35/x
  3. Step 3: Cross multiply
    578.98x = 868.47 × 254.35
  4. Step 4: Simplify right side
    578.98x = 220,895.34
  5. Step 5: Solve for x
    x = 220,895.34/578.98
  6. Step 6: Final answer
    x = 381.53

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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.