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Finding the Fourth Proportional to 490.44, 736.26 and 381.09

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Solution

The fourth proportional to 490.44, 736.26 and 381.09 is: 572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.44 : 736.26 = 381.09 : x
  2. Step 2: Convert to fraction form
    490.44/736.26 = 381.09/x
  3. Step 3: Cross multiply
    490.44x = 736.26 × 381.09
  4. Step 4: Simplify right side
    490.44x = 280,581.32
  5. Step 5: Solve for x
    x = 280,581.32/490.44
  6. Step 6: Final answer
    x = 572.10

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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.