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Finding the Fourth Proportional to 498.56, 748.10 and 255.29

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Solution

The fourth proportional to 498.56, 748.10 and 255.29 is: 383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.56 : 748.10 = 255.29 : x
  2. Step 2: Convert to fraction form
    498.56/748.10 = 255.29/x
  3. Step 3: Cross multiply
    498.56x = 748.10 × 255.29
  4. Step 4: Simplify right side
    498.56x = 190,979.35
  5. Step 5: Solve for x
    x = 190,979.35/498.56
  6. Step 6: Final answer
    x = 383.07

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