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Finding the Fourth Proportional to 546.45, 820 and 238.30

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Solution

The fourth proportional to 546.45, 820 and 238.30 is: 357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.45 : 820 = 238.30 : x
  2. Step 2: Convert to fraction form
    546.45/820 = 238.30/x
  3. Step 3: Cross multiply
    546.45x = 820 × 238.30
  4. Step 4: Simplify right side
    546.45x = 195,406
  5. Step 5: Solve for x
    x = 195,406/546.45
  6. Step 6: Final answer
    x = 357.59

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