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Finding the Fourth Proportional to 546.74, 754.18 and 380.66

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Solution

The fourth proportional to 546.74, 754.18 and 380.66 is: 525.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.74 : 754.18 = 380.66 : x
  2. Step 2: Convert to fraction form
    546.74/754.18 = 380.66/x
  3. Step 3: Cross multiply
    546.74x = 754.18 × 380.66
  4. Step 4: Simplify right side
    546.74x = 287,086.16
  5. Step 5: Solve for x
    x = 287,086.16/546.74
  6. Step 6: Final answer
    x = 525.09

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