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Finding the Fourth Proportional to 490.85, 677.31 and 343.22

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Solution

The fourth proportional to 490.85, 677.31 and 343.22 is: 473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.85 : 677.31 = 343.22 : x
  2. Step 2: Convert to fraction form
    490.85/677.31 = 343.22/x
  3. Step 3: Cross multiply
    490.85x = 677.31 × 343.22
  4. Step 4: Simplify right side
    490.85x = 232,462.95
  5. Step 5: Solve for x
    x = 232,462.95/490.85
  6. Step 6: Final answer
    x = 473.60

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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.