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Finding the Fourth Proportional to 509.78, 764.58 and 235.86

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Solution

The fourth proportional to 509.78, 764.58 and 235.86 is: 353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.78 : 764.58 = 235.86 : x
  2. Step 2: Convert to fraction form
    509.78/764.58 = 235.86/x
  3. Step 3: Cross multiply
    509.78x = 764.58 × 235.86
  4. Step 4: Simplify right side
    509.78x = 180,333.84
  5. Step 5: Solve for x
    x = 180,333.84/509.78
  6. Step 6: Final answer
    x = 353.75

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