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Finding the Fourth Proportional to 695.71, 960.39 and 459.80

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Solution

The fourth proportional to 695.71, 960.39 and 459.80 is: 634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.71 : 960.39 = 459.80 : x
  2. Step 2: Convert to fraction form
    695.71/960.39 = 459.80/x
  3. Step 3: Cross multiply
    695.71x = 960.39 × 459.80
  4. Step 4: Simplify right side
    695.71x = 441,587.32
  5. Step 5: Solve for x
    x = 441,587.32/695.71
  6. Step 6: Final answer
    x = 634.73

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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.