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Finding the Fourth Proportional to 345.74, 518.64 and 208.88

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Solution

The fourth proportional to 345.74, 518.64 and 208.88 is: 313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.74 : 518.64 = 208.88 : x
  2. Step 2: Convert to fraction form
    345.74/518.64 = 208.88/x
  3. Step 3: Cross multiply
    345.74x = 518.64 × 208.88
  4. Step 4: Simplify right side
    345.74x = 108,333.52
  5. Step 5: Solve for x
    x = 108,333.52/345.74
  6. Step 6: Final answer
    x = 313.34

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