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Finding the Fourth Proportional to 490.74, 676.05 and 406.37

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Solution

The fourth proportional to 490.74, 676.05 and 406.37 is: 559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.74 : 676.05 = 406.37 : x
  2. Step 2: Convert to fraction form
    490.74/676.05 = 406.37/x
  3. Step 3: Cross multiply
    490.74x = 676.05 × 406.37
  4. Step 4: Simplify right side
    490.74x = 274,723.06
  5. Step 5: Solve for x
    x = 274,723.06/490.74
  6. Step 6: Final answer
    x = 559.81

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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.