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Finding the Fourth Proportional to 298.82, 412.02 and 243.44

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Solution

The fourth proportional to 298.82, 412.02 and 243.44 is: 335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.82 : 412.02 = 243.44 : x
  2. Step 2: Convert to fraction form
    298.82/412.02 = 243.44/x
  3. Step 3: Cross multiply
    298.82x = 412.02 × 243.44
  4. Step 4: Simplify right side
    298.82x = 100,302.15
  5. Step 5: Solve for x
    x = 100,302.15/298.82
  6. Step 6: Final answer
    x = 335.66

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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.