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Finding the Fourth Proportional to 382, 573.18 and 208.66

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Solution

The fourth proportional to 382, 573.18 and 208.66 is: 313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    382 : 573.18 = 208.66 : x
  2. Step 2: Convert to fraction form
    382/573.18 = 208.66/x
  3. Step 3: Cross multiply
    382x = 573.18 × 208.66
  4. Step 4: Simplify right side
    382x = 119,599.74
  5. Step 5: Solve for x
    x = 119,599.74/382
  6. Step 6: Final answer
    x = 313.09

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