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Finding the Fourth Proportional to 636.78, 878.91 and 415.35

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Solution

The fourth proportional to 636.78, 878.91 and 415.35 is: 573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.78 : 878.91 = 415.35 : x
  2. Step 2: Convert to fraction form
    636.78/878.91 = 415.35/x
  3. Step 3: Cross multiply
    636.78x = 878.91 × 415.35
  4. Step 4: Simplify right side
    636.78x = 365,055.27
  5. Step 5: Solve for x
    x = 365,055.27/636.78
  6. Step 6: Final answer
    x = 573.28

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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.