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Finding the Fourth Proportional to 509.78, 764.90 and 235.84

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Solution

The fourth proportional to 509.78, 764.90 and 235.84 is: 353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.78 : 764.90 = 235.84 : x
  2. Step 2: Convert to fraction form
    509.78/764.90 = 235.84/x
  3. Step 3: Cross multiply
    509.78x = 764.90 × 235.84
  4. Step 4: Simplify right side
    509.78x = 180,394.02
  5. Step 5: Solve for x
    x = 180,394.02/509.78
  6. Step 6: Final answer
    x = 353.87

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