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Finding the Fourth Proportional to 298.68, 412.86 and 249.27

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Solution

The fourth proportional to 298.68, 412.86 and 249.27 is: 344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.68 : 412.86 = 249.27 : x
  2. Step 2: Convert to fraction form
    298.68/412.86 = 249.27/x
  3. Step 3: Cross multiply
    298.68x = 412.86 × 249.27
  4. Step 4: Simplify right side
    298.68x = 102,913.61
  5. Step 5: Solve for x
    x = 102,913.61/298.68
  6. Step 6: Final answer
    x = 344.56

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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.