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Finding the Fourth Proportional to 546.73, 820.04 and 286.63

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Solution

The fourth proportional to 546.73, 820.04 and 286.63 is: 429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.73 : 820.04 = 286.63 : x
  2. Step 2: Convert to fraction form
    546.73/820.04 = 286.63/x
  3. Step 3: Cross multiply
    546.73x = 820.04 × 286.63
  4. Step 4: Simplify right side
    546.73x = 235,044.58
  5. Step 5: Solve for x
    x = 235,044.58/546.73
  6. Step 6: Final answer
    x = 429.91

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