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Finding the Fourth Proportional to 636.37, 878.14 and 415.37

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Solution

The fourth proportional to 636.37, 878.14 and 415.37 is: 573.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.37 : 878.14 = 415.37 : x
  2. Step 2: Convert to fraction form
    636.37/878.14 = 415.37/x
  3. Step 3: Cross multiply
    636.37x = 878.14 × 415.37
  4. Step 4: Simplify right side
    636.37x = 364,753.01
  5. Step 5: Solve for x
    x = 364,753.01/636.37
  6. Step 6: Final answer
    x = 573.18

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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.