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Finding the Fourth Proportional to 410.78, 616.18 and 194.38

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Solution

The fourth proportional to 410.78, 616.18 and 194.38 is: 291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.78 : 616.18 = 194.38 : x
  2. Step 2: Convert to fraction form
    410.78/616.18 = 194.38/x
  3. Step 3: Cross multiply
    410.78x = 616.18 × 194.38
  4. Step 4: Simplify right side
    410.78x = 119,773.07
  5. Step 5: Solve for x
    x = 119,773.07/410.78
  6. Step 6: Final answer
    x = 291.57

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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.