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Finding the Fourth Proportional to 490.56, 735.60 and 409.44

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Solution

The fourth proportional to 490.56, 735.60 and 409.44 is: 613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.56 : 735.60 = 409.44 : x
  2. Step 2: Convert to fraction form
    490.56/735.60 = 409.44/x
  3. Step 3: Cross multiply
    490.56x = 735.60 × 409.44
  4. Step 4: Simplify right side
    490.56x = 301,184.06
  5. Step 5: Solve for x
    x = 301,184.06/490.56
  6. Step 6: Final answer
    x = 613.96

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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.