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Finding the Fourth Proportional to 680.16, 938.46 and 385.38

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Solution

The fourth proportional to 680.16, 938.46 and 385.38 is: 531.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.16 : 938.46 = 385.38 : x
  2. Step 2: Convert to fraction form
    680.16/938.46 = 385.38/x
  3. Step 3: Cross multiply
    680.16x = 938.46 × 385.38
  4. Step 4: Simplify right side
    680.16x = 361,663.71
  5. Step 5: Solve for x
    x = 361,663.71/680.16
  6. Step 6: Final answer
    x = 531.73

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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.