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Finding the Fourth Proportional to 547.45, 819.11 and 327.26

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Solution

The fourth proportional to 547.45, 819.11 and 327.26 is: 489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.45 : 819.11 = 327.26 : x
  2. Step 2: Convert to fraction form
    547.45/819.11 = 327.26/x
  3. Step 3: Cross multiply
    547.45x = 819.11 × 327.26
  4. Step 4: Simplify right side
    547.45x = 268,064.80
  5. Step 5: Solve for x
    x = 268,064.80/547.45
  6. Step 6: Final answer
    x = 489.66

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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.