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Finding the Fourth Proportional to 636.44, 878.34 and 404.12

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Solution

The fourth proportional to 636.44, 878.34 and 404.12 is: 557.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.44 : 878.34 = 404.12 : x
  2. Step 2: Convert to fraction form
    636.44/878.34 = 404.12/x
  3. Step 3: Cross multiply
    636.44x = 878.34 × 404.12
  4. Step 4: Simplify right side
    636.44x = 354,954.76
  5. Step 5: Solve for x
    x = 354,954.76/636.44
  6. Step 6: Final answer
    x = 557.72

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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.