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Finding the Fourth Proportional to 388.62, 583.38 and 205.98

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Solution

The fourth proportional to 388.62, 583.38 and 205.98 is: 309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.62 : 583.38 = 205.98 : x
  2. Step 2: Convert to fraction form
    388.62/583.38 = 205.98/x
  3. Step 3: Cross multiply
    388.62x = 583.38 × 205.98
  4. Step 4: Simplify right side
    388.62x = 120,164.61
  5. Step 5: Solve for x
    x = 120,164.61/388.62
  6. Step 6: Final answer
    x = 309.21

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