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Finding the Fourth Proportional to 414.78, 622.38 and 382.42

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Solution

The fourth proportional to 414.78, 622.38 and 382.42 is: 573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.78 : 622.38 = 382.42 : x
  2. Step 2: Convert to fraction form
    414.78/622.38 = 382.42/x
  3. Step 3: Cross multiply
    414.78x = 622.38 × 382.42
  4. Step 4: Simplify right side
    414.78x = 238,010.56
  5. Step 5: Solve for x
    x = 238,010.56/414.78
  6. Step 6: Final answer
    x = 573.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.