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Finding the Fourth Proportional to 305.92, 458.40 and 281.92

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Solution

The fourth proportional to 305.92, 458.40 and 281.92 is: 422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.92 : 458.40 = 281.92 : x
  2. Step 2: Convert to fraction form
    305.92/458.40 = 281.92/x
  3. Step 3: Cross multiply
    305.92x = 458.40 × 281.92
  4. Step 4: Simplify right side
    305.92x = 129,232.13
  5. Step 5: Solve for x
    x = 129,232.13/305.92
  6. Step 6: Final answer
    x = 422.44

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