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Finding the Fourth Proportional to 490.22, 736.32 and 382.67

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Solution

The fourth proportional to 490.22, 736.32 and 382.67 is: 574.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.22 : 736.32 = 382.67 : x
  2. Step 2: Convert to fraction form
    490.22/736.32 = 382.67/x
  3. Step 3: Cross multiply
    490.22x = 736.32 × 382.67
  4. Step 4: Simplify right side
    490.22x = 281,767.57
  5. Step 5: Solve for x
    x = 281,767.57/490.22
  6. Step 6: Final answer
    x = 574.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.