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Finding the Fourth Proportional to 379.94, 569.70 and 206.55

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Solution

The fourth proportional to 379.94, 569.70 and 206.55 is: 309.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.94 : 569.70 = 206.55 : x
  2. Step 2: Convert to fraction form
    379.94/569.70 = 206.55/x
  3. Step 3: Cross multiply
    379.94x = 569.70 × 206.55
  4. Step 4: Simplify right side
    379.94x = 117,671.54
  5. Step 5: Solve for x
    x = 117,671.54/379.94
  6. Step 6: Final answer
    x = 309.71

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