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Finding the Fourth Proportional to 498.56, 748.08 and 282.08

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Solution

The fourth proportional to 498.56, 748.08 and 282.08 is: 423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.56 : 748.08 = 282.08 : x
  2. Step 2: Convert to fraction form
    498.56/748.08 = 282.08/x
  3. Step 3: Cross multiply
    498.56x = 748.08 × 282.08
  4. Step 4: Simplify right side
    498.56x = 211,018.41
  5. Step 5: Solve for x
    x = 211,018.41/498.56
  6. Step 6: Final answer
    x = 423.26

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