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Finding the Fourth Proportional to 379.70, 569.68 and 206.46

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Solution

The fourth proportional to 379.70, 569.68 and 206.46 is: 309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.70 : 569.68 = 206.46 : x
  2. Step 2: Convert to fraction form
    379.70/569.68 = 206.46/x
  3. Step 3: Cross multiply
    379.70x = 569.68 × 206.46
  4. Step 4: Simplify right side
    379.70x = 117,616.13
  5. Step 5: Solve for x
    x = 117,616.13/379.70
  6. Step 6: Final answer
    x = 309.76

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