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Finding the Fourth Proportional to 343.06, 473.22 and 249.68

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Solution

The fourth proportional to 343.06, 473.22 and 249.68 is: 344.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.06 : 473.22 = 249.68 : x
  2. Step 2: Convert to fraction form
    343.06/473.22 = 249.68/x
  3. Step 3: Cross multiply
    343.06x = 473.22 × 249.68
  4. Step 4: Simplify right side
    343.06x = 118,153.57
  5. Step 5: Solve for x
    x = 118,153.57/343.06
  6. Step 6: Final answer
    x = 344.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.