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Finding the Fourth Proportional to 564.75, 778.84 and 354.95

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Solution

The fourth proportional to 564.75, 778.84 and 354.95 is: 489.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.75 : 778.84 = 354.95 : x
  2. Step 2: Convert to fraction form
    564.75/778.84 = 354.95/x
  3. Step 3: Cross multiply
    564.75x = 778.84 × 354.95
  4. Step 4: Simplify right side
    564.75x = 276,449.26
  5. Step 5: Solve for x
    x = 276,449.26/564.75
  6. Step 6: Final answer
    x = 489.51

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