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Finding the Fourth Proportional to 467.92, 645.38 and 447.24

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Solution

The fourth proportional to 467.92, 645.38 and 447.24 is: 616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.92 : 645.38 = 447.24 : x
  2. Step 2: Convert to fraction form
    467.92/645.38 = 447.24/x
  3. Step 3: Cross multiply
    467.92x = 645.38 × 447.24
  4. Step 4: Simplify right side
    467.92x = 288,639.75
  5. Step 5: Solve for x
    x = 288,639.75/467.92
  6. Step 6: Final answer
    x = 616.86

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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.