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Finding the Fourth Proportional to 494.96, 682.05 and 460.37

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Solution

The fourth proportional to 494.96, 682.05 and 460.37 is: 634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.96 : 682.05 = 460.37 : x
  2. Step 2: Convert to fraction form
    494.96/682.05 = 460.37/x
  3. Step 3: Cross multiply
    494.96x = 682.05 × 460.37
  4. Step 4: Simplify right side
    494.96x = 313,991.95
  5. Step 5: Solve for x
    x = 313,991.95/494.96
  6. Step 6: Final answer
    x = 634.38

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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.