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Finding the Fourth Proportional to 546.81, 820 and 330.13

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Solution

The fourth proportional to 546.81, 820 and 330.13 is: 495.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.81 : 820 = 330.13 : x
  2. Step 2: Convert to fraction form
    546.81/820 = 330.13/x
  3. Step 3: Cross multiply
    546.81x = 820 × 330.13
  4. Step 4: Simplify right side
    546.81x = 270,706.60
  5. Step 5: Solve for x
    x = 270,706.60/546.81
  6. Step 6: Final answer
    x = 495.07

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