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Finding the Fourth Proportional to 298.53, 412.83 and 224.82

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Solution

The fourth proportional to 298.53, 412.83 and 224.82 is: 310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.53 : 412.83 = 224.82 : x
  2. Step 2: Convert to fraction form
    298.53/412.83 = 224.82/x
  3. Step 3: Cross multiply
    298.53x = 412.83 × 224.82
  4. Step 4: Simplify right side
    298.53x = 92,812.44
  5. Step 5: Solve for x
    x = 92,812.44/298.53
  6. Step 6: Final answer
    x = 310.90

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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.