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Finding the Fourth Proportional to 680.06, 938.86 and 478.49

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Solution

The fourth proportional to 680.06, 938.86 and 478.49 is: 660.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.06 : 938.86 = 478.49 : x
  2. Step 2: Convert to fraction form
    680.06/938.86 = 478.49/x
  3. Step 3: Cross multiply
    680.06x = 938.86 × 478.49
  4. Step 4: Simplify right side
    680.06x = 449,229.23
  5. Step 5: Solve for x
    x = 449,229.23/680.06
  6. Step 6: Final answer
    x = 660.57

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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.