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Finding the Fourth Proportional to 498.74, 747.92 and 174.02

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Solution

The fourth proportional to 498.74, 747.92 and 174.02 is: 260.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.74 : 747.92 = 174.02 : x
  2. Step 2: Convert to fraction form
    498.74/747.92 = 174.02/x
  3. Step 3: Cross multiply
    498.74x = 747.92 × 174.02
  4. Step 4: Simplify right side
    498.74x = 130,153.04
  5. Step 5: Solve for x
    x = 130,153.04/498.74
  6. Step 6: Final answer
    x = 260.96

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