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Finding the Fourth Proportional to 495.74, 742.64 and 264.55

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Solution

The fourth proportional to 495.74, 742.64 and 264.55 is: 396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.74 : 742.64 = 264.55 : x
  2. Step 2: Convert to fraction form
    495.74/742.64 = 264.55/x
  3. Step 3: Cross multiply
    495.74x = 742.64 × 264.55
  4. Step 4: Simplify right side
    495.74x = 196,466.07
  5. Step 5: Solve for x
    x = 196,466.07/495.74
  6. Step 6: Final answer
    x = 396.31

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