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Finding the Fourth Proportional to 545.98, 819.04 and 199.42

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Solution

The fourth proportional to 545.98, 819.04 and 199.42 is: 299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.98 : 819.04 = 199.42 : x
  2. Step 2: Convert to fraction form
    545.98/819.04 = 199.42/x
  3. Step 3: Cross multiply
    545.98x = 819.04 × 199.42
  4. Step 4: Simplify right side
    545.98x = 163,332.96
  5. Step 5: Solve for x
    x = 163,332.96/545.98
  6. Step 6: Final answer
    x = 299.16

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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.