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Finding the Fourth Proportional to 495.09, 742.64 and 206.53

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Solution

The fourth proportional to 495.09, 742.64 and 206.53 is: 309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.09 : 742.64 = 206.53 : x
  2. Step 2: Convert to fraction form
    495.09/742.64 = 206.53/x
  3. Step 3: Cross multiply
    495.09x = 742.64 × 206.53
  4. Step 4: Simplify right side
    495.09x = 153,378.88
  5. Step 5: Solve for x
    x = 153,378.88/495.09
  6. Step 6: Final answer
    x = 309.80

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