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Finding the Fourth Proportional to 695.88, 959.67 and 474.39

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Solution

The fourth proportional to 695.88, 959.67 and 474.39 is: 654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.88 : 959.67 = 474.39 : x
  2. Step 2: Convert to fraction form
    695.88/959.67 = 474.39/x
  3. Step 3: Cross multiply
    695.88x = 959.67 × 474.39
  4. Step 4: Simplify right side
    695.88x = 455,257.85
  5. Step 5: Solve for x
    x = 455,257.85/695.88
  6. Step 6: Final answer
    x = 654.22

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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.