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Finding the Fourth Proportional to 635.97, 878.12 and 415.05

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Solution

The fourth proportional to 635.97, 878.12 and 415.05 is: 573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.97 : 878.12 = 415.05 : x
  2. Step 2: Convert to fraction form
    635.97/878.12 = 415.05/x
  3. Step 3: Cross multiply
    635.97x = 878.12 × 415.05
  4. Step 4: Simplify right side
    635.97x = 364,461.63
  5. Step 5: Solve for x
    x = 364,461.63/635.97
  6. Step 6: Final answer
    x = 573.08

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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.