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Finding the Fourth Proportional to 389.62, 537.68 and 214.96

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Solution

The fourth proportional to 389.62, 537.68 and 214.96 is: 296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.62 : 537.68 = 214.96 : x
  2. Step 2: Convert to fraction form
    389.62/537.68 = 214.96/x
  3. Step 3: Cross multiply
    389.62x = 537.68 × 214.96
  4. Step 4: Simplify right side
    389.62x = 115,578.62
  5. Step 5: Solve for x
    x = 115,578.62/389.62
  6. Step 6: Final answer
    x = 296.65

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