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Finding the Fourth Proportional to 680.42, 938.96 and 396.82

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Solution

The fourth proportional to 680.42, 938.96 and 396.82 is: 547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.42 : 938.96 = 396.82 : x
  2. Step 2: Convert to fraction form
    680.42/938.96 = 396.82/x
  3. Step 3: Cross multiply
    680.42x = 938.96 × 396.82
  4. Step 4: Simplify right side
    680.42x = 372,599.10
  5. Step 5: Solve for x
    x = 372,599.10/680.42
  6. Step 6: Final answer
    x = 547.60

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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.