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Finding the Fourth Proportional to 680.13, 938.34 and 470.25

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Solution

The fourth proportional to 680.13, 938.34 and 470.25 is: 648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.13 : 938.34 = 470.25 : x
  2. Step 2: Convert to fraction form
    680.13/938.34 = 470.25/x
  3. Step 3: Cross multiply
    680.13x = 938.34 × 470.25
  4. Step 4: Simplify right side
    680.13x = 441,254.39
  5. Step 5: Solve for x
    x = 441,254.39/680.13
  6. Step 6: Final answer
    x = 648.78

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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.