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Finding the Fourth Proportional to 490.22, 736.32 and 382.68

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Solution

The fourth proportional to 490.22, 736.32 and 382.68 is: 574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.22 : 736.32 = 382.68 : x
  2. Step 2: Convert to fraction form
    490.22/736.32 = 382.68/x
  3. Step 3: Cross multiply
    490.22x = 736.32 × 382.68
  4. Step 4: Simplify right side
    490.22x = 281,774.94
  5. Step 5: Solve for x
    x = 281,774.94/490.22
  6. Step 6: Final answer
    x = 574.79

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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.