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Finding the Fourth Proportional to 546.81, 820.33 and 176.64

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Solution

The fourth proportional to 546.81, 820.33 and 176.64 is: 264.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.81 : 820.33 = 176.64 : x
  2. Step 2: Convert to fraction form
    546.81/820.33 = 176.64/x
  3. Step 3: Cross multiply
    546.81x = 820.33 × 176.64
  4. Step 4: Simplify right side
    546.81x = 144,901.27
  5. Step 5: Solve for x
    x = 144,901.27/546.81
  6. Step 6: Final answer
    x = 264.99

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