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Finding the Fourth Proportional to 389.14, 583.76 and 142.31

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Solution

The fourth proportional to 389.14, 583.76 and 142.31 is: 213.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.14 : 583.76 = 142.31 : x
  2. Step 2: Convert to fraction form
    389.14/583.76 = 142.31/x
  3. Step 3: Cross multiply
    389.14x = 583.76 × 142.31
  4. Step 4: Simplify right side
    389.14x = 83,074.89
  5. Step 5: Solve for x
    x = 83,074.89/389.14
  6. Step 6: Final answer
    x = 213.48

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