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Finding the Fourth Proportional to 376.87, 563.13 and 299.03

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Solution

The fourth proportional to 376.87, 563.13 and 299.03 is: 446.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.87 : 563.13 = 299.03 : x
  2. Step 2: Convert to fraction form
    376.87/563.13 = 299.03/x
  3. Step 3: Cross multiply
    376.87x = 563.13 × 299.03
  4. Step 4: Simplify right side
    376.87x = 168,390.44
  5. Step 5: Solve for x
    x = 168,390.44/376.87
  6. Step 6: Final answer
    x = 446.81

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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.