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Finding the Fourth Proportional to 680.92, 938.39 and 484.09

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Solution

The fourth proportional to 680.92, 938.39 and 484.09 is: 667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.92 : 938.39 = 484.09 : x
  2. Step 2: Convert to fraction form
    680.92/938.39 = 484.09/x
  3. Step 3: Cross multiply
    680.92x = 938.39 × 484.09
  4. Step 4: Simplify right side
    680.92x = 454,266.43
  5. Step 5: Solve for x
    x = 454,266.43/680.92
  6. Step 6: Final answer
    x = 667.14

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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.