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Finding the Fourth Proportional to 642, 963 and 468.84

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Solution

The fourth proportional to 642, 963 and 468.84 is: 703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    642 : 963 = 468.84 : x
  2. Step 2: Convert to fraction form
    642/963 = 468.84/x
  3. Step 3: Cross multiply
    642x = 963 × 468.84
  4. Step 4: Simplify right side
    642x = 451,492.92
  5. Step 5: Solve for x
    x = 451,492.92/642
  6. Step 6: Final answer
    x = 703.26

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