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Finding the Fourth Proportional to 678, 935.66 and 415.96

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Solution

The fourth proportional to 678, 935.66 and 415.96 is: 574.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    678 : 935.66 = 415.96 : x
  2. Step 2: Convert to fraction form
    678/935.66 = 415.96/x
  3. Step 3: Cross multiply
    678x = 935.66 × 415.96
  4. Step 4: Simplify right side
    678x = 389,197.13
  5. Step 5: Solve for x
    x = 389,197.13/678
  6. Step 6: Final answer
    x = 574.04

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