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Finding the Fourth Proportional to 680.56, 938.64 and 447.64

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Solution

The fourth proportional to 680.56, 938.64 and 447.64 is: 617.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.56 : 938.64 = 447.64 : x
  2. Step 2: Convert to fraction form
    680.56/938.64 = 447.64/x
  3. Step 3: Cross multiply
    680.56x = 938.64 × 447.64
  4. Step 4: Simplify right side
    680.56x = 420,172.81
  5. Step 5: Solve for x
    x = 420,172.81/680.56
  6. Step 6: Final answer
    x = 617.39

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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.