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Finding the Fourth Proportional to 509.06, 703.20 and 404.84

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Solution

The fourth proportional to 509.06, 703.20 and 404.84 is: 559.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.06 : 703.20 = 404.84 : x
  2. Step 2: Convert to fraction form
    509.06/703.20 = 404.84/x
  3. Step 3: Cross multiply
    509.06x = 703.20 × 404.84
  4. Step 4: Simplify right side
    509.06x = 284,683.49
  5. Step 5: Solve for x
    x = 284,683.49/509.06
  6. Step 6: Final answer
    x = 559.23

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