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Finding the Fourth Proportional to 398.76, 598.40 and 206.52

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Solution

The fourth proportional to 398.76, 598.40 and 206.52 is: 309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.76 : 598.40 = 206.52 : x
  2. Step 2: Convert to fraction form
    398.76/598.40 = 206.52/x
  3. Step 3: Cross multiply
    398.76x = 598.40 × 206.52
  4. Step 4: Simplify right side
    398.76x = 123,581.57
  5. Step 5: Solve for x
    x = 123,581.57/398.76
  6. Step 6: Final answer
    x = 309.91

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