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Finding the Fourth Proportional to 406.19, 559.95 and 289.55

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Solution

The fourth proportional to 406.19, 559.95 and 289.55 is: 399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.19 : 559.95 = 289.55 : x
  2. Step 2: Convert to fraction form
    406.19/559.95 = 289.55/x
  3. Step 3: Cross multiply
    406.19x = 559.95 × 289.55
  4. Step 4: Simplify right side
    406.19x = 162,133.13
  5. Step 5: Solve for x
    x = 162,133.13/406.19
  6. Step 6: Final answer
    x = 399.16

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