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Finding the Fourth Proportional to 494.61, 742.02 and 206.05

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Solution

The fourth proportional to 494.61, 742.02 and 206.05 is: 309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.61 : 742.02 = 206.05 : x
  2. Step 2: Convert to fraction form
    494.61/742.02 = 206.05/x
  3. Step 3: Cross multiply
    494.61x = 742.02 × 206.05
  4. Step 4: Simplify right side
    494.61x = 152,893.22
  5. Step 5: Solve for x
    x = 152,893.22/494.61
  6. Step 6: Final answer
    x = 309.12

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