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Finding the Fourth Proportional to 636.24, 878.28 and 415.38

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Solution

The fourth proportional to 636.24, 878.28 and 415.38 is: 573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.24 : 878.28 = 415.38 : x
  2. Step 2: Convert to fraction form
    636.24/878.28 = 415.38/x
  3. Step 3: Cross multiply
    636.24x = 878.28 × 415.38
  4. Step 4: Simplify right side
    636.24x = 364,819.95
  5. Step 5: Solve for x
    x = 364,819.95/636.24
  6. Step 6: Final answer
    x = 573.40

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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.