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Finding the Fourth Proportional to 680.14, 938.46 and 400.30

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Solution

The fourth proportional to 680.14, 938.46 and 400.30 is: 552.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.14 : 938.46 = 400.30 : x
  2. Step 2: Convert to fraction form
    680.14/938.46 = 400.30/x
  3. Step 3: Cross multiply
    680.14x = 938.46 × 400.30
  4. Step 4: Simplify right side
    680.14x = 375,665.54
  5. Step 5: Solve for x
    x = 375,665.54/680.14
  6. Step 6: Final answer
    x = 552.34

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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.