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Finding the Fourth Proportional to 389.21, 583.61 and 206.96

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Solution

The fourth proportional to 389.21, 583.61 and 206.96 is: 310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.21 : 583.61 = 206.96 : x
  2. Step 2: Convert to fraction form
    389.21/583.61 = 206.96/x
  3. Step 3: Cross multiply
    389.21x = 583.61 × 206.96
  4. Step 4: Simplify right side
    389.21x = 120,779.97
  5. Step 5: Solve for x
    x = 120,779.97/389.21
  6. Step 6: Final answer
    x = 310.32

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