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Finding the Fourth Proportional to 410.91, 616.82 and 194.94

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Solution

The fourth proportional to 410.91, 616.82 and 194.94 is: 292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.91 : 616.82 = 194.94 : x
  2. Step 2: Convert to fraction form
    410.91/616.82 = 194.94/x
  3. Step 3: Cross multiply
    410.91x = 616.82 × 194.94
  4. Step 4: Simplify right side
    410.91x = 120,241.92
  5. Step 5: Solve for x
    x = 120,241.92/410.91
  6. Step 6: Final answer
    x = 292.63

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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.