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Finding the Fourth Proportional to 537.24, 805.44 and 306.02

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Solution

The fourth proportional to 537.24, 805.44 and 306.02 is: 458.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.24 : 805.44 = 306.02 : x
  2. Step 2: Convert to fraction form
    537.24/805.44 = 306.02/x
  3. Step 3: Cross multiply
    537.24x = 805.44 × 306.02
  4. Step 4: Simplify right side
    537.24x = 246,480.75
  5. Step 5: Solve for x
    x = 246,480.75/537.24
  6. Step 6: Final answer
    x = 458.79

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