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Finding the Fourth Proportional to 545.95, 819.02 and 271.99

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Solution

The fourth proportional to 545.95, 819.02 and 271.99 is: 408.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.95 : 819.02 = 271.99 : x
  2. Step 2: Convert to fraction form
    545.95/819.02 = 271.99/x
  3. Step 3: Cross multiply
    545.95x = 819.02 × 271.99
  4. Step 4: Simplify right side
    545.95x = 222,765.25
  5. Step 5: Solve for x
    x = 222,765.25/545.95
  6. Step 6: Final answer
    x = 408.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.