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Finding the Fourth Proportional to 509.87, 703.61 and 288.81

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Solution

The fourth proportional to 509.87, 703.61 and 288.81 is: 398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.87 : 703.61 = 288.81 : x
  2. Step 2: Convert to fraction form
    509.87/703.61 = 288.81/x
  3. Step 3: Cross multiply
    509.87x = 703.61 × 288.81
  4. Step 4: Simplify right side
    509.87x = 203,209.60
  5. Step 5: Solve for x
    x = 203,209.60/509.87
  6. Step 6: Final answer
    x = 398.55

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