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Finding the Fourth Proportional to 414.23, 621.13 and 194.78

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Solution

The fourth proportional to 414.23, 621.13 and 194.78 is: 292.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.23 : 621.13 = 194.78 : x
  2. Step 2: Convert to fraction form
    414.23/621.13 = 194.78/x
  3. Step 3: Cross multiply
    414.23x = 621.13 × 194.78
  4. Step 4: Simplify right side
    414.23x = 120,983.66
  5. Step 5: Solve for x
    x = 120,983.66/414.23
  6. Step 6: Final answer
    x = 292.07

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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.