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Finding the Fourth Proportional to 695.22, 959.18 and 446.68

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Solution

The fourth proportional to 695.22, 959.18 and 446.68 is: 616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.22 : 959.18 = 446.68 : x
  2. Step 2: Convert to fraction form
    695.22/959.18 = 446.68/x
  3. Step 3: Cross multiply
    695.22x = 959.18 × 446.68
  4. Step 4: Simplify right side
    695.22x = 428,446.52
  5. Step 5: Solve for x
    x = 428,446.52/695.22
  6. Step 6: Final answer
    x = 616.27

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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.