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Finding the Fourth Proportional to 288.13, 397.86 and 214.78

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Solution

The fourth proportional to 288.13, 397.86 and 214.78 is: 296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.13 : 397.86 = 214.78 : x
  2. Step 2: Convert to fraction form
    288.13/397.86 = 214.78/x
  3. Step 3: Cross multiply
    288.13x = 397.86 × 214.78
  4. Step 4: Simplify right side
    288.13x = 85,452.37
  5. Step 5: Solve for x
    x = 85,452.37/288.13
  6. Step 6: Final answer
    x = 296.58

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