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Finding the Fourth Proportional to 496.88, 745.14 and 208.34

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Solution

The fourth proportional to 496.88, 745.14 and 208.34 is: 312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.88 : 745.14 = 208.34 : x
  2. Step 2: Convert to fraction form
    496.88/745.14 = 208.34/x
  3. Step 3: Cross multiply
    496.88x = 745.14 × 208.34
  4. Step 4: Simplify right side
    496.88x = 155,242.47
  5. Step 5: Solve for x
    x = 155,242.47/496.88
  6. Step 6: Final answer
    x = 312.43

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