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Finding the Fourth Proportional to 682.89, 942.17 and 449.97

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Solution

The fourth proportional to 682.89, 942.17 and 449.97 is: 620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.89 : 942.17 = 449.97 : x
  2. Step 2: Convert to fraction form
    682.89/942.17 = 449.97/x
  3. Step 3: Cross multiply
    682.89x = 942.17 × 449.97
  4. Step 4: Simplify right side
    682.89x = 423,943.52
  5. Step 5: Solve for x
    x = 423,943.52/682.89
  6. Step 6: Final answer
    x = 620.81

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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.