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Finding the Fourth Proportional to 490.47, 735.57 and 270.96

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Solution

The fourth proportional to 490.47, 735.57 and 270.96 is: 406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.47 : 735.57 = 270.96 : x
  2. Step 2: Convert to fraction form
    490.47/735.57 = 270.96/x
  3. Step 3: Cross multiply
    490.47x = 735.57 × 270.96
  4. Step 4: Simplify right side
    490.47x = 199,310.05
  5. Step 5: Solve for x
    x = 199,310.05/490.47
  6. Step 6: Final answer
    x = 406.37

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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.