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Finding the Fourth Proportional to 490.10, 676.34 and 269.05

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Solution

The fourth proportional to 490.10, 676.34 and 269.05 is: 371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.10 : 676.34 = 269.05 : x
  2. Step 2: Convert to fraction form
    490.10/676.34 = 269.05/x
  3. Step 3: Cross multiply
    490.10x = 676.34 × 269.05
  4. Step 4: Simplify right side
    490.10x = 181,967.93
  5. Step 5: Solve for x
    x = 181,967.93/490.10
  6. Step 6: Final answer
    x = 371.29

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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.