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Finding the Fourth Proportional to 680.44, 938.80 and 470.37

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Solution

The fourth proportional to 680.44, 938.80 and 470.37 is: 648.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.44 : 938.80 = 470.37 : x
  2. Step 2: Convert to fraction form
    680.44/938.80 = 470.37/x
  3. Step 3: Cross multiply
    680.44x = 938.80 × 470.37
  4. Step 4: Simplify right side
    680.44x = 441,576.31
  5. Step 5: Solve for x
    x = 441,576.31/680.44
  6. Step 6: Final answer
    x = 648.96

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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.