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Finding the Fourth Proportional to 376.56, 565.11 and 274.14

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Solution

The fourth proportional to 376.56, 565.11 and 274.14 is: 411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.56 : 565.11 = 274.14 : x
  2. Step 2: Convert to fraction form
    376.56/565.11 = 274.14/x
  3. Step 3: Cross multiply
    376.56x = 565.11 × 274.14
  4. Step 4: Simplify right side
    376.56x = 154,919.26
  5. Step 5: Solve for x
    x = 154,919.26/376.56
  6. Step 6: Final answer
    x = 411.41

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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.