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Finding the Fourth Proportional to 657, 906.75 and 381

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Solution

The fourth proportional to 657, 906.75 and 381 is: 525.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    657 : 906.75 = 381 : x
  2. Step 2: Convert to fraction form
    657/906.75 = 381/x
  3. Step 3: Cross multiply
    657x = 906.75 × 381
  4. Step 4: Simplify right side
    657x = 345,471.75
  5. Step 5: Solve for x
    x = 345,471.75/657
  6. Step 6: Final answer
    x = 525.83

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