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Finding the Fourth Proportional to 680.12, 938.54 and 385.44

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Solution

The fourth proportional to 680.12, 938.54 and 385.44 is: 531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.12 : 938.54 = 385.44 : x
  2. Step 2: Convert to fraction form
    680.12/938.54 = 385.44/x
  3. Step 3: Cross multiply
    680.12x = 938.54 × 385.44
  4. Step 4: Simplify right side
    680.12x = 361,750.86
  5. Step 5: Solve for x
    x = 361,750.86/680.12
  6. Step 6: Final answer
    x = 531.89

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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.