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Finding the Fourth Proportional to 378.62, 568.07 and 363.10

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Solution

The fourth proportional to 378.62, 568.07 and 363.10 is: 544.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.62 : 568.07 = 363.10 : x
  2. Step 2: Convert to fraction form
    378.62/568.07 = 363.10/x
  3. Step 3: Cross multiply
    378.62x = 568.07 × 363.10
  4. Step 4: Simplify right side
    378.62x = 206,266.22
  5. Step 5: Solve for x
    x = 206,266.22/378.62
  6. Step 6: Final answer
    x = 544.78

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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.