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Finding the Fourth Proportional to 389.63, 537.68 and 214.97

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Solution

The fourth proportional to 389.63, 537.68 and 214.97 is: 296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.63 : 537.68 = 214.97 : x
  2. Step 2: Convert to fraction form
    389.63/537.68 = 214.97/x
  3. Step 3: Cross multiply
    389.63x = 537.68 × 214.97
  4. Step 4: Simplify right side
    389.63x = 115,586.95
  5. Step 5: Solve for x
    x = 115,586.95/389.63
  6. Step 6: Final answer
    x = 296.66

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