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Finding the Fourth Proportional to 319.17, 440.66 and 249.11

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Solution

The fourth proportional to 319.17, 440.66 and 249.11 is: 343.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.17 : 440.66 = 249.11 : x
  2. Step 2: Convert to fraction form
    319.17/440.66 = 249.11/x
  3. Step 3: Cross multiply
    319.17x = 440.66 × 249.11
  4. Step 4: Simplify right side
    319.17x = 109,769.36
  5. Step 5: Solve for x
    x = 109,769.36/319.17
  6. Step 6: Final answer
    x = 343.92

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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.