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Finding the Fourth Proportional to 498.82, 748.22 and 206.48

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Solution

The fourth proportional to 498.82, 748.22 and 206.48 is: 309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.82 : 748.22 = 206.48 : x
  2. Step 2: Convert to fraction form
    498.82/748.22 = 206.48/x
  3. Step 3: Cross multiply
    498.82x = 748.22 × 206.48
  4. Step 4: Simplify right side
    498.82x = 154,492.47
  5. Step 5: Solve for x
    x = 154,492.47/498.82
  6. Step 6: Final answer
    x = 309.72

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