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Finding the Fourth Proportional to 316.92, 437 and 206.40

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Solution

The fourth proportional to 316.92, 437 and 206.40 is: 284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.92 : 437 = 206.40 : x
  2. Step 2: Convert to fraction form
    316.92/437 = 206.40/x
  3. Step 3: Cross multiply
    316.92x = 437 × 206.40
  4. Step 4: Simplify right side
    316.92x = 90,196.80
  5. Step 5: Solve for x
    x = 90,196.80/316.92
  6. Step 6: Final answer
    x = 284.60

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