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Finding the Fourth Proportional to 390.40, 584.69 and 280.85

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Solution

The fourth proportional to 390.40, 584.69 and 280.85 is: 420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.40 : 584.69 = 280.85 : x
  2. Step 2: Convert to fraction form
    390.40/584.69 = 280.85/x
  3. Step 3: Cross multiply
    390.40x = 584.69 × 280.85
  4. Step 4: Simplify right side
    390.40x = 164,210.19
  5. Step 5: Solve for x
    x = 164,210.19/390.40
  6. Step 6: Final answer
    x = 420.62

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