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Finding the Fourth Proportional to 696.36, 960.91 and 416.54

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Solution

The fourth proportional to 696.36, 960.91 and 416.54 is: 574.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.36 : 960.91 = 416.54 : x
  2. Step 2: Convert to fraction form
    696.36/960.91 = 416.54/x
  3. Step 3: Cross multiply
    696.36x = 960.91 × 416.54
  4. Step 4: Simplify right side
    696.36x = 400,250.56
  5. Step 5: Solve for x
    x = 400,250.56/696.36
  6. Step 6: Final answer
    x = 574.78

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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.