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Finding the Fourth Proportional to 546.75, 820.53 and 258.19

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Solution

The fourth proportional to 546.75, 820.53 and 258.19 is: 387.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.75 : 820.53 = 258.19 : x
  2. Step 2: Convert to fraction form
    546.75/820.53 = 258.19/x
  3. Step 3: Cross multiply
    546.75x = 820.53 × 258.19
  4. Step 4: Simplify right side
    546.75x = 211,850.59
  5. Step 5: Solve for x
    x = 211,850.59/546.75
  6. Step 6: Final answer
    x = 387.47

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