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Finding the Fourth Proportional to 390.69, 584.89 and 259.07

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Solution

The fourth proportional to 390.69, 584.89 and 259.07 is: 387.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.69 : 584.89 = 259.07 : x
  2. Step 2: Convert to fraction form
    390.69/584.89 = 259.07/x
  3. Step 3: Cross multiply
    390.69x = 584.89 × 259.07
  4. Step 4: Simplify right side
    390.69x = 151,523.88
  5. Step 5: Solve for x
    x = 151,523.88/390.69
  6. Step 6: Final answer
    x = 387.84

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