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Finding the Fourth Proportional to 578.31, 868.32 and 415.95

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Solution

The fourth proportional to 578.31, 868.32 and 415.95 is: 624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.31 : 868.32 = 415.95 : x
  2. Step 2: Convert to fraction form
    578.31/868.32 = 415.95/x
  3. Step 3: Cross multiply
    578.31x = 868.32 × 415.95
  4. Step 4: Simplify right side
    578.31x = 361,177.70
  5. Step 5: Solve for x
    x = 361,177.70/578.31
  6. Step 6: Final answer
    x = 624.54

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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.