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Finding the Fourth Proportional to 298.40, 411.44 and 224.48

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Solution

The fourth proportional to 298.40, 411.44 and 224.48 is: 309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.40 : 411.44 = 224.48 : x
  2. Step 2: Convert to fraction form
    298.40/411.44 = 224.48/x
  3. Step 3: Cross multiply
    298.40x = 411.44 × 224.48
  4. Step 4: Simplify right side
    298.40x = 92,360.05
  5. Step 5: Solve for x
    x = 92,360.05/298.40
  6. Step 6: Final answer
    x = 309.52

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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.