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Finding the Fourth Proportional to 490.09, 676.43 and 280.26

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Solution

The fourth proportional to 490.09, 676.43 and 280.26 is: 386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.09 : 676.43 = 280.26 : x
  2. Step 2: Convert to fraction form
    490.09/676.43 = 280.26/x
  3. Step 3: Cross multiply
    490.09x = 676.43 × 280.26
  4. Step 4: Simplify right side
    490.09x = 189,571.49
  5. Step 5: Solve for x
    x = 189,571.49/490.09
  6. Step 6: Final answer
    x = 386.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.