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Finding the Fourth Proportional to 549.24, 823.57 and 183.91

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Solution

The fourth proportional to 549.24, 823.57 and 183.91 is: 275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.24 : 823.57 = 183.91 : x
  2. Step 2: Convert to fraction form
    549.24/823.57 = 183.91/x
  3. Step 3: Cross multiply
    549.24x = 823.57 × 183.91
  4. Step 4: Simplify right side
    549.24x = 151,460.24
  5. Step 5: Solve for x
    x = 151,460.24/549.24
  6. Step 6: Final answer
    x = 275.76

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