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Finding the Fourth Proportional to 490.11, 676.21 and 293.61

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Solution

The fourth proportional to 490.11, 676.21 and 293.61 is: 405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.11 : 676.21 = 293.61 : x
  2. Step 2: Convert to fraction form
    490.11/676.21 = 293.61/x
  3. Step 3: Cross multiply
    490.11x = 676.21 × 293.61
  4. Step 4: Simplify right side
    490.11x = 198,542.02
  5. Step 5: Solve for x
    x = 198,542.02/490.11
  6. Step 6: Final answer
    x = 405.10

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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.