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Finding the Fourth Proportional to 405.79, 608.24 and 259.08

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Solution

The fourth proportional to 405.79, 608.24 and 259.08 is: 388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.79 : 608.24 = 259.08 : x
  2. Step 2: Convert to fraction form
    405.79/608.24 = 259.08/x
  3. Step 3: Cross multiply
    405.79x = 608.24 × 259.08
  4. Step 4: Simplify right side
    405.79x = 157,584.61
  5. Step 5: Solve for x
    x = 157,584.61/405.79
  6. Step 6: Final answer
    x = 388.34

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