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Finding the Fourth Proportional to 467.86, 701.36 and 224.04

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Solution

The fourth proportional to 467.86, 701.36 and 224.04 is: 335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.86 : 701.36 = 224.04 : x
  2. Step 2: Convert to fraction form
    467.86/701.36 = 224.04/x
  3. Step 3: Cross multiply
    467.86x = 701.36 × 224.04
  4. Step 4: Simplify right side
    467.86x = 157,132.69
  5. Step 5: Solve for x
    x = 157,132.69/467.86
  6. Step 6: Final answer
    x = 335.85

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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.