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Finding the Fourth Proportional to 340.85, 470.25 and 216.47

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Solution

The fourth proportional to 340.85, 470.25 and 216.47 is: 298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.85 : 470.25 = 216.47 : x
  2. Step 2: Convert to fraction form
    340.85/470.25 = 216.47/x
  3. Step 3: Cross multiply
    340.85x = 470.25 × 216.47
  4. Step 4: Simplify right side
    340.85x = 101,792.67
  5. Step 5: Solve for x
    x = 101,792.67/340.85
  6. Step 6: Final answer
    x = 298.65

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