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Finding the Fourth Proportional to 498.53, 749.16 and 267.59

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Solution

The fourth proportional to 498.53, 749.16 and 267.59 is: 402.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.53 : 749.16 = 267.59 : x
  2. Step 2: Convert to fraction form
    498.53/749.16 = 267.59/x
  3. Step 3: Cross multiply
    498.53x = 749.16 × 267.59
  4. Step 4: Simplify right side
    498.53x = 200,463.98
  5. Step 5: Solve for x
    x = 200,463.98/498.53
  6. Step 6: Final answer
    x = 402.11

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