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Finding the Fourth Proportional to 696.82, 961.41 and 416.92

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Solution

The fourth proportional to 696.82, 961.41 and 416.92 is: 575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.82 : 961.41 = 416.92 : x
  2. Step 2: Convert to fraction form
    696.82/961.41 = 416.92/x
  3. Step 3: Cross multiply
    696.82x = 961.41 × 416.92
  4. Step 4: Simplify right side
    696.82x = 400,831.06
  5. Step 5: Solve for x
    x = 400,831.06/696.82
  6. Step 6: Final answer
    x = 575.23

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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.