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Finding the Fourth Proportional to 636.26, 878.31 and 400.41

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Solution

The fourth proportional to 636.26, 878.31 and 400.41 is: 552.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.26 : 878.31 = 400.41 : x
  2. Step 2: Convert to fraction form
    636.26/878.31 = 400.41/x
  3. Step 3: Cross multiply
    636.26x = 878.31 × 400.41
  4. Step 4: Simplify right side
    636.26x = 351,684.11
  5. Step 5: Solve for x
    x = 351,684.11/636.26
  6. Step 6: Final answer
    x = 552.74

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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.