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Finding the Fourth Proportional to 636.22, 878.07 and 404.02

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Solution

The fourth proportional to 636.22, 878.07 and 404.02 is: 557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.22 : 878.07 = 404.02 : x
  2. Step 2: Convert to fraction form
    636.22/878.07 = 404.02/x
  3. Step 3: Cross multiply
    636.22x = 878.07 × 404.02
  4. Step 4: Simplify right side
    636.22x = 354,757.84
  5. Step 5: Solve for x
    x = 354,757.84/636.22
  6. Step 6: Final answer
    x = 557.60

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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.