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Finding the Fourth Proportional to 498.09, 746.94 and 185.64

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Solution

The fourth proportional to 498.09, 746.94 and 185.64 is: 278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.09 : 746.94 = 185.64 : x
  2. Step 2: Convert to fraction form
    498.09/746.94 = 185.64/x
  3. Step 3: Cross multiply
    498.09x = 746.94 × 185.64
  4. Step 4: Simplify right side
    498.09x = 138,661.94
  5. Step 5: Solve for x
    x = 138,661.94/498.09
  6. Step 6: Final answer
    x = 278.39

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