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Finding the Fourth Proportional to 394.40, 544.17 and 378.83

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Solution

The fourth proportional to 394.40, 544.17 and 378.83 is: 522.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.40 : 544.17 = 378.83 : x
  2. Step 2: Convert to fraction form
    394.40/544.17 = 378.83/x
  3. Step 3: Cross multiply
    394.40x = 544.17 × 378.83
  4. Step 4: Simplify right side
    394.40x = 206,149.28
  5. Step 5: Solve for x
    x = 206,149.28/394.40
  6. Step 6: Final answer
    x = 522.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.