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Finding the Fourth Proportional to 613, 846 and 380.20

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Solution

The fourth proportional to 613, 846 and 380.20 is: 524.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    613 : 846 = 380.20 : x
  2. Step 2: Convert to fraction form
    613/846 = 380.20/x
  3. Step 3: Cross multiply
    613x = 846 × 380.20
  4. Step 4: Simplify right side
    613x = 321,649.20
  5. Step 5: Solve for x
    x = 321,649.20/613
  6. Step 6: Final answer
    x = 524.71

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