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Finding the Fourth Proportional to 465.91, 642.64 and 355.14

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Solution

The fourth proportional to 465.91, 642.64 and 355.14 is: 489.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.91 : 642.64 = 355.14 : x
  2. Step 2: Convert to fraction form
    465.91/642.64 = 355.14/x
  3. Step 3: Cross multiply
    465.91x = 642.64 × 355.14
  4. Step 4: Simplify right side
    465.91x = 228,227.17
  5. Step 5: Solve for x
    x = 228,227.17/465.91
  6. Step 6: Final answer
    x = 489.85

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