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Finding the Fourth Proportional to 405.92, 559.98 and 266.20

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Solution

The fourth proportional to 405.92, 559.98 and 266.20 is: 367.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.92 : 559.98 = 266.20 : x
  2. Step 2: Convert to fraction form
    405.92/559.98 = 266.20/x
  3. Step 3: Cross multiply
    405.92x = 559.98 × 266.20
  4. Step 4: Simplify right side
    405.92x = 149,066.68
  5. Step 5: Solve for x
    x = 149,066.68/405.92
  6. Step 6: Final answer
    x = 367.23

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