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Finding the Fourth Proportional to 636.71, 878.41 and 415.58

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Solution

The fourth proportional to 636.71, 878.41 and 415.58 is: 573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.71 : 878.41 = 415.58 : x
  2. Step 2: Convert to fraction form
    636.71/878.41 = 415.58/x
  3. Step 3: Cross multiply
    636.71x = 878.41 × 415.58
  4. Step 4: Simplify right side
    636.71x = 365,049.63
  5. Step 5: Solve for x
    x = 365,049.63/636.71
  6. Step 6: Final answer
    x = 573.34

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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.