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Finding the Fourth Proportional to 378.40, 563.69 and 361.92

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Solution

The fourth proportional to 378.40, 563.69 and 361.92 is: 539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.40 : 563.69 = 361.92 : x
  2. Step 2: Convert to fraction form
    378.40/563.69 = 361.92/x
  3. Step 3: Cross multiply
    378.40x = 563.69 × 361.92
  4. Step 4: Simplify right side
    378.40x = 204,010.68
  5. Step 5: Solve for x
    x = 204,010.68/378.40
  6. Step 6: Final answer
    x = 539.14

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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.