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Finding the Fourth Proportional to 343.61, 514.48 and 206.46

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Solution

The fourth proportional to 343.61, 514.48 and 206.46 is: 309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.61 : 514.48 = 206.46 : x
  2. Step 2: Convert to fraction form
    343.61/514.48 = 206.46/x
  3. Step 3: Cross multiply
    343.61x = 514.48 × 206.46
  4. Step 4: Simplify right side
    343.61x = 106,216.97
  5. Step 5: Solve for x
    x = 106,216.97/343.61
  6. Step 6: Final answer
    x = 309.13

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