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Finding the Fourth Proportional to 695.41, 959.41 and 426.14

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Solution

The fourth proportional to 695.41, 959.41 and 426.14 is: 587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.41 : 959.41 = 426.14 : x
  2. Step 2: Convert to fraction form
    695.41/959.41 = 426.14/x
  3. Step 3: Cross multiply
    695.41x = 959.41 × 426.14
  4. Step 4: Simplify right side
    695.41x = 408,842.98
  5. Step 5: Solve for x
    x = 408,842.98/695.41
  6. Step 6: Final answer
    x = 587.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.