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Finding the Fourth Proportional to 695.82, 959.20 and 447.09

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Solution

The fourth proportional to 695.82, 959.20 and 447.09 is: 616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.82 : 959.20 = 447.09 : x
  2. Step 2: Convert to fraction form
    695.82/959.20 = 447.09/x
  3. Step 3: Cross multiply
    695.82x = 959.20 × 447.09
  4. Step 4: Simplify right side
    695.82x = 428,848.73
  5. Step 5: Solve for x
    x = 428,848.73/695.82
  6. Step 6: Final answer
    x = 616.32

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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.