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Finding the Fourth Proportional to 468.64, 647.20 and 363.84

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Solution

The fourth proportional to 468.64, 647.20 and 363.84 is: 502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.64 : 647.20 = 363.84 : x
  2. Step 2: Convert to fraction form
    468.64/647.20 = 363.84/x
  3. Step 3: Cross multiply
    468.64x = 647.20 × 363.84
  4. Step 4: Simplify right side
    468.64x = 235,477.25
  5. Step 5: Solve for x
    x = 235,477.25/468.64
  6. Step 6: Final answer
    x = 502.47

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