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Finding the Fourth Proportional to 392.05, 585.78 and 378.43

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Solution

The fourth proportional to 392.05, 585.78 and 378.43 is: 565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.05 : 585.78 = 378.43 : x
  2. Step 2: Convert to fraction form
    392.05/585.78 = 378.43/x
  3. Step 3: Cross multiply
    392.05x = 585.78 × 378.43
  4. Step 4: Simplify right side
    392.05x = 221,673.84
  5. Step 5: Solve for x
    x = 221,673.84/392.05
  6. Step 6: Final answer
    x = 565.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.