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Finding the Fourth Proportional to 490.02, 676.26 and 293.61

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Solution

The fourth proportional to 490.02, 676.26 and 293.61 is: 405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.02 : 676.26 = 293.61 : x
  2. Step 2: Convert to fraction form
    490.02/676.26 = 293.61/x
  3. Step 3: Cross multiply
    490.02x = 676.26 × 293.61
  4. Step 4: Simplify right side
    490.02x = 198,556.70
  5. Step 5: Solve for x
    x = 198,556.70/490.02
  6. Step 6: Final answer
    x = 405.20

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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.