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Finding the Fourth Proportional to 410.83, 616.71 and 194.83

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Solution

The fourth proportional to 410.83, 616.71 and 194.83 is: 292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.83 : 616.71 = 194.83 : x
  2. Step 2: Convert to fraction form
    410.83/616.71 = 194.83/x
  3. Step 3: Cross multiply
    410.83x = 616.71 × 194.83
  4. Step 4: Simplify right side
    410.83x = 120,153.61
  5. Step 5: Solve for x
    x = 120,153.61/410.83
  6. Step 6: Final answer
    x = 292.47

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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.