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Finding the Fourth Proportional to 369.14, 509.43 and 213.88

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Solution

The fourth proportional to 369.14, 509.43 and 213.88 is: 295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.14 : 509.43 = 213.88 : x
  2. Step 2: Convert to fraction form
    369.14/509.43 = 213.88/x
  3. Step 3: Cross multiply
    369.14x = 509.43 × 213.88
  4. Step 4: Simplify right side
    369.14x = 108,956.89
  5. Step 5: Solve for x
    x = 108,956.89/369.14
  6. Step 6: Final answer
    x = 295.16

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