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Finding the Fourth Proportional to 467.96, 701.96 and 224.56

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Solution

The fourth proportional to 467.96, 701.96 and 224.56 is: 336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.96 : 701.96 = 224.56 : x
  2. Step 2: Convert to fraction form
    467.96/701.96 = 224.56/x
  3. Step 3: Cross multiply
    467.96x = 701.96 × 224.56
  4. Step 4: Simplify right side
    467.96x = 157,632.14
  5. Step 5: Solve for x
    x = 157,632.14/467.96
  6. Step 6: Final answer
    x = 336.85

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Why These Related Problems?

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