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Finding the Fourth Proportional to 382.29, 573.59 and 208.74

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Solution

The fourth proportional to 382.29, 573.59 and 208.74 is: 313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.29 : 573.59 = 208.74 : x
  2. Step 2: Convert to fraction form
    382.29/573.59 = 208.74/x
  3. Step 3: Cross multiply
    382.29x = 573.59 × 208.74
  4. Step 4: Simplify right side
    382.29x = 119,731.18
  5. Step 5: Solve for x
    x = 119,731.18/382.29
  6. Step 6: Final answer
    x = 313.19

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