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Finding the Fourth Proportional to 680.30, 938.82 and 369.80

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Solution

The fourth proportional to 680.30, 938.82 and 369.80 is: 510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.30 : 938.82 = 369.80 : x
  2. Step 2: Convert to fraction form
    680.30/938.82 = 369.80/x
  3. Step 3: Cross multiply
    680.30x = 938.82 × 369.80
  4. Step 4: Simplify right side
    680.30x = 347,170.94
  5. Step 5: Solve for x
    x = 347,170.94/680.30
  6. Step 6: Final answer
    x = 510.32

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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.