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Finding the Fourth Proportional to 695.82, 960.26 and 397.14

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Solution

The fourth proportional to 695.82, 960.26 and 397.14 is: 548.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.82 : 960.26 = 397.14 : x
  2. Step 2: Convert to fraction form
    695.82/960.26 = 397.14/x
  3. Step 3: Cross multiply
    695.82x = 960.26 × 397.14
  4. Step 4: Simplify right side
    695.82x = 381,352.07
  5. Step 5: Solve for x
    x = 381,352.07/695.82
  6. Step 6: Final answer
    x = 548.06

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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.