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Finding the Fourth Proportional to 321.96, 444.76 and 249.14

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Solution

The fourth proportional to 321.96, 444.76 and 249.14 is: 344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.96 : 444.76 = 249.14 : x
  2. Step 2: Convert to fraction form
    321.96/444.76 = 249.14/x
  3. Step 3: Cross multiply
    321.96x = 444.76 × 249.14
  4. Step 4: Simplify right side
    321.96x = 110,807.51
  5. Step 5: Solve for x
    x = 110,807.51/321.96
  6. Step 6: Final answer
    x = 344.17

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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.