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Finding the Fourth Proportional to 384.05, 576.37 and 281.60

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Solution

The fourth proportional to 384.05, 576.37 and 281.60 is: 422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.05 : 576.37 = 281.60 : x
  2. Step 2: Convert to fraction form
    384.05/576.37 = 281.60/x
  3. Step 3: Cross multiply
    384.05x = 576.37 × 281.60
  4. Step 4: Simplify right side
    384.05x = 162,306.53
  5. Step 5: Solve for x
    x = 162,306.53/384.05
  6. Step 6: Final answer
    x = 422.62

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