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Finding the Fourth Proportional to 490.56, 676.99 and 269.53

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Solution

The fourth proportional to 490.56, 676.99 and 269.53 is: 371.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.56 : 676.99 = 269.53 : x
  2. Step 2: Convert to fraction form
    490.56/676.99 = 269.53/x
  3. Step 3: Cross multiply
    490.56x = 676.99 × 269.53
  4. Step 4: Simplify right side
    490.56x = 182,467.76
  5. Step 5: Solve for x
    x = 182,467.76/490.56
  6. Step 6: Final answer
    x = 371.96

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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.