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Finding the Fourth Proportional to 365.83, 547.30 and 282.92

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Solution

The fourth proportional to 365.83, 547.30 and 282.92 is: 423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.83 : 547.30 = 282.92 : x
  2. Step 2: Convert to fraction form
    365.83/547.30 = 282.92/x
  3. Step 3: Cross multiply
    365.83x = 547.30 × 282.92
  4. Step 4: Simplify right side
    365.83x = 154,839.73
  5. Step 5: Solve for x
    x = 154,839.73/365.83
  6. Step 6: Final answer
    x = 423.26

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