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Finding the Fourth Proportional to 545.80, 819.24 and 302.44

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Solution

The fourth proportional to 545.80, 819.24 and 302.44 is: 453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.80 : 819.24 = 302.44 : x
  2. Step 2: Convert to fraction form
    545.80/819.24 = 302.44/x
  3. Step 3: Cross multiply
    545.80x = 819.24 × 302.44
  4. Step 4: Simplify right side
    545.80x = 247,770.95
  5. Step 5: Solve for x
    x = 247,770.95/545.80
  6. Step 6: Final answer
    x = 453.96

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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.