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Finding the Fourth Proportional to 682.60, 941.38 and 449.96

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Solution

The fourth proportional to 682.60, 941.38 and 449.96 is: 620.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.60 : 941.38 = 449.96 : x
  2. Step 2: Convert to fraction form
    682.60/941.38 = 449.96/x
  3. Step 3: Cross multiply
    682.60x = 941.38 × 449.96
  4. Step 4: Simplify right side
    682.60x = 423,583.34
  5. Step 5: Solve for x
    x = 423,583.34/682.60
  6. Step 6: Final answer
    x = 620.54

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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.