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Finding the Fourth Proportional to 393.64, 589.98 and 150

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Solution

The fourth proportional to 393.64, 589.98 and 150 is: 224.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.64 : 589.98 = 150 : x
  2. Step 2: Convert to fraction form
    393.64/589.98 = 150/x
  3. Step 3: Cross multiply
    393.64x = 589.98 × 150
  4. Step 4: Simplify right side
    393.64x = 88,497
  5. Step 5: Solve for x
    x = 88,497/393.64
  6. Step 6: Final answer
    x = 224.82

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