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Finding the Fourth Proportional to 636.30, 878.07 and 415.26

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Solution

The fourth proportional to 636.30, 878.07 and 415.26 is: 573.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.30 : 878.07 = 415.26 : x
  2. Step 2: Convert to fraction form
    636.30/878.07 = 415.26/x
  3. Step 3: Cross multiply
    636.30x = 878.07 × 415.26
  4. Step 4: Simplify right side
    636.30x = 364,627.35
  5. Step 5: Solve for x
    x = 364,627.35/636.30
  6. Step 6: Final answer
    x = 573.04

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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.