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Finding the Fourth Proportional to 680.17, 938.84 and 400.42

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Solution

The fourth proportional to 680.17, 938.84 and 400.42 is: 552.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.17 : 938.84 = 400.42 : x
  2. Step 2: Convert to fraction form
    680.17/938.84 = 400.42/x
  3. Step 3: Cross multiply
    680.17x = 938.84 × 400.42
  4. Step 4: Simplify right side
    680.17x = 375,930.31
  5. Step 5: Solve for x
    x = 375,930.31/680.17
  6. Step 6: Final answer
    x = 552.70

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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.