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Finding the Fourth Proportional to 532.76, 799.46 and 208.16

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Solution

The fourth proportional to 532.76, 799.46 and 208.16 is: 312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.76 : 799.46 = 208.16 : x
  2. Step 2: Convert to fraction form
    532.76/799.46 = 208.16/x
  3. Step 3: Cross multiply
    532.76x = 799.46 × 208.16
  4. Step 4: Simplify right side
    532.76x = 166,415.59
  5. Step 5: Solve for x
    x = 166,415.59/532.76
  6. Step 6: Final answer
    x = 312.37

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