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Finding the Fourth Proportional to 680.29, 938.85 and 400.48

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Solution

The fourth proportional to 680.29, 938.85 and 400.48 is: 552.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.29 : 938.85 = 400.48 : x
  2. Step 2: Convert to fraction form
    680.29/938.85 = 400.48/x
  3. Step 3: Cross multiply
    680.29x = 938.85 × 400.48
  4. Step 4: Simplify right side
    680.29x = 375,990.65
  5. Step 5: Solve for x
    x = 375,990.65/680.29
  6. Step 6: Final answer
    x = 552.69

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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.