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Finding the Fourth Proportional to 376.29, 563.76 and 252.60

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Solution

The fourth proportional to 376.29, 563.76 and 252.60 is: 378.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.29 : 563.76 = 252.60 : x
  2. Step 2: Convert to fraction form
    376.29/563.76 = 252.60/x
  3. Step 3: Cross multiply
    376.29x = 563.76 × 252.60
  4. Step 4: Simplify right side
    376.29x = 142,405.78
  5. Step 5: Solve for x
    x = 142,405.78/376.29
  6. Step 6: Final answer
    x = 378.45

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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.