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Finding the Fourth Proportional to 764.76, 1,146.43 and 354.23

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Solution

The fourth proportional to 764.76, 1,146.43 and 354.23 is: 531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.76 : 1,146.43 = 354.23 : x
  2. Step 2: Convert to fraction form
    764.76/1,146.43 = 354.23/x
  3. Step 3: Cross multiply
    764.76x = 1,146.43 × 354.23
  4. Step 4: Simplify right side
    764.76x = 406,099.90
  5. Step 5: Solve for x
    x = 406,099.90/764.76
  6. Step 6: Final answer
    x = 531.02

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