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Finding the Fourth Proportional to 380.12, 570.34 and 206.91

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Solution

The fourth proportional to 380.12, 570.34 and 206.91 is: 310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.12 : 570.34 = 206.91 : x
  2. Step 2: Convert to fraction form
    380.12/570.34 = 206.91/x
  3. Step 3: Cross multiply
    380.12x = 570.34 × 206.91
  4. Step 4: Simplify right side
    380.12x = 118,006.39
  5. Step 5: Solve for x
    x = 118,006.39/380.12
  6. Step 6: Final answer
    x = 310.45

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