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Finding the Fourth Proportional to 298.81, 411.06 and 249.40

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Solution

The fourth proportional to 298.81, 411.06 and 249.40 is: 343.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.81 : 411.06 = 249.40 : x
  2. Step 2: Convert to fraction form
    298.81/411.06 = 249.40/x
  3. Step 3: Cross multiply
    298.81x = 411.06 × 249.40
  4. Step 4: Simplify right side
    298.81x = 102,518.36
  5. Step 5: Solve for x
    x = 102,518.36/298.81
  6. Step 6: Final answer
    x = 343.09

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Why These Related Problems?

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