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Finding the Fourth Proportional to 410.98, 616.56 and 194.80

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Solution

The fourth proportional to 410.98, 616.56 and 194.80 is: 292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.98 : 616.56 = 194.80 : x
  2. Step 2: Convert to fraction form
    410.98/616.56 = 194.80/x
  3. Step 3: Cross multiply
    410.98x = 616.56 × 194.80
  4. Step 4: Simplify right side
    410.98x = 120,105.89
  5. Step 5: Solve for x
    x = 120,105.89/410.98
  6. Step 6: Final answer
    x = 292.24

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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.