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Finding the Fourth Proportional to 543.54, 816.10 and 338.96

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Solution

The fourth proportional to 543.54, 816.10 and 338.96 is: 508.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.54 : 816.10 = 338.96 : x
  2. Step 2: Convert to fraction form
    543.54/816.10 = 338.96/x
  3. Step 3: Cross multiply
    543.54x = 816.10 × 338.96
  4. Step 4: Simplify right side
    543.54x = 276,625.26
  5. Step 5: Solve for x
    x = 276,625.26/543.54
  6. Step 6: Final answer
    x = 508.93

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