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Finding the Fourth Proportional to 345.02, 475.85 and 213.78

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Solution

The fourth proportional to 345.02, 475.85 and 213.78 is: 294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.02 : 475.85 = 213.78 : x
  2. Step 2: Convert to fraction form
    345.02/475.85 = 213.78/x
  3. Step 3: Cross multiply
    345.02x = 475.85 × 213.78
  4. Step 4: Simplify right side
    345.02x = 101,727.21
  5. Step 5: Solve for x
    x = 101,727.21/345.02
  6. Step 6: Final answer
    x = 294.84

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