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Finding the Fourth Proportional to 696.21, 960.79 and 416.74

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Solution

The fourth proportional to 696.21, 960.79 and 416.74 is: 575.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.21 : 960.79 = 416.74 : x
  2. Step 2: Convert to fraction form
    696.21/960.79 = 416.74/x
  3. Step 3: Cross multiply
    696.21x = 960.79 × 416.74
  4. Step 4: Simplify right side
    696.21x = 400,399.62
  5. Step 5: Solve for x
    x = 400,399.62/696.21
  6. Step 6: Final answer
    x = 575.11

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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.