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Finding the Fourth Proportional to 298.37, 447.71 and 224.74

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Solution

The fourth proportional to 298.37, 447.71 and 224.74 is: 337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.37 : 447.71 = 224.74 : x
  2. Step 2: Convert to fraction form
    298.37/447.71 = 224.74/x
  3. Step 3: Cross multiply
    298.37x = 447.71 × 224.74
  4. Step 4: Simplify right side
    298.37x = 100,615.83
  5. Step 5: Solve for x
    x = 100,615.83/298.37
  6. Step 6: Final answer
    x = 337.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.