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Finding the Fourth Proportional to 305.97, 458.41 and 175.83

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Solution

The fourth proportional to 305.97, 458.41 and 175.83 is: 263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.97 : 458.41 = 175.83 : x
  2. Step 2: Convert to fraction form
    305.97/458.41 = 175.83/x
  3. Step 3: Cross multiply
    305.97x = 458.41 × 175.83
  4. Step 4: Simplify right side
    305.97x = 80,602.23
  5. Step 5: Solve for x
    x = 80,602.23/305.97
  6. Step 6: Final answer
    x = 263.43

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