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Finding the Fourth Proportional to 462.96, 694.47 and 154.81

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Solution

The fourth proportional to 462.96, 694.47 and 154.81 is: 232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.96 : 694.47 = 154.81 : x
  2. Step 2: Convert to fraction form
    462.96/694.47 = 154.81/x
  3. Step 3: Cross multiply
    462.96x = 694.47 × 154.81
  4. Step 4: Simplify right side
    462.96x = 107,512.35
  5. Step 5: Solve for x
    x = 107,512.35/462.96
  6. Step 6: Final answer
    x = 232.23

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