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Finding the Fourth Proportional to 636.74, 878.66 and 400.92

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Solution

The fourth proportional to 636.74, 878.66 and 400.92 is: 553.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.74 : 878.66 = 400.92 : x
  2. Step 2: Convert to fraction form
    636.74/878.66 = 400.92/x
  3. Step 3: Cross multiply
    636.74x = 878.66 × 400.92
  4. Step 4: Simplify right side
    636.74x = 352,272.37
  5. Step 5: Solve for x
    x = 352,272.37/636.74
  6. Step 6: Final answer
    x = 553.24

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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.