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Finding the Fourth Proportional to 314.61, 470.69 and 211.40

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Solution

The fourth proportional to 314.61, 470.69 and 211.40 is: 316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.61 : 470.69 = 211.40 : x
  2. Step 2: Convert to fraction form
    314.61/470.69 = 211.40/x
  3. Step 3: Cross multiply
    314.61x = 470.69 × 211.40
  4. Step 4: Simplify right side
    314.61x = 99,503.87
  5. Step 5: Solve for x
    x = 99,503.87/314.61
  6. Step 6: Final answer
    x = 316.28

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