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Finding the Fourth Proportional to 680.06, 938.27 and 400.20

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Solution

The fourth proportional to 680.06, 938.27 and 400.20 is: 552.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.06 : 938.27 = 400.20 : x
  2. Step 2: Convert to fraction form
    680.06/938.27 = 400.20/x
  3. Step 3: Cross multiply
    680.06x = 938.27 × 400.20
  4. Step 4: Simplify right side
    680.06x = 375,493.65
  5. Step 5: Solve for x
    x = 375,493.65/680.06
  6. Step 6: Final answer
    x = 552.15

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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.