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Finding the Fourth Proportional to 764.63, 1,147.14 and 331.68

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Solution

The fourth proportional to 764.63, 1,147.14 and 331.68 is: 497.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.63 : 1,147.14 = 331.68 : x
  2. Step 2: Convert to fraction form
    764.63/1,147.14 = 331.68/x
  3. Step 3: Cross multiply
    764.63x = 1,147.14 × 331.68
  4. Step 4: Simplify right side
    764.63x = 380,483.40
  5. Step 5: Solve for x
    x = 380,483.40/764.63
  6. Step 6: Final answer
    x = 497.61

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