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Finding the Fourth Proportional to 509.92, 703.69 and 288.94

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Solution

The fourth proportional to 509.92, 703.69 and 288.94 is: 398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.92 : 703.69 = 288.94 : x
  2. Step 2: Convert to fraction form
    509.92/703.69 = 288.94/x
  3. Step 3: Cross multiply
    509.92x = 703.69 × 288.94
  4. Step 4: Simplify right side
    509.92x = 203,323.03
  5. Step 5: Solve for x
    x = 203,323.03/509.92
  6. Step 6: Final answer
    x = 398.74

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