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Finding the Fourth Proportional to 636.33, 878.31 and 415.89

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Solution

The fourth proportional to 636.33, 878.31 and 415.89 is: 574.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.33 : 878.31 = 415.89 : x
  2. Step 2: Convert to fraction form
    636.33/878.31 = 415.89/x
  3. Step 3: Cross multiply
    636.33x = 878.31 × 415.89
  4. Step 4: Simplify right side
    636.33x = 365,280.35
  5. Step 5: Solve for x
    x = 365,280.35/636.33
  6. Step 6: Final answer
    x = 574.04

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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.