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Finding the Fourth Proportional to 636.64, 878.10 and 400.36

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Solution

The fourth proportional to 636.64, 878.10 and 400.36 is: 552.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.64 : 878.10 = 400.36 : x
  2. Step 2: Convert to fraction form
    636.64/878.10 = 400.36/x
  3. Step 3: Cross multiply
    636.64x = 878.10 × 400.36
  4. Step 4: Simplify right side
    636.64x = 351,556.12
  5. Step 5: Solve for x
    x = 351,556.12/636.64
  6. Step 6: Final answer
    x = 552.21

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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.