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Finding the Fourth Proportional to 467.63, 645.41 and 301.97

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Solution

The fourth proportional to 467.63, 645.41 and 301.97 is: 416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.63 : 645.41 = 301.97 : x
  2. Step 2: Convert to fraction form
    467.63/645.41 = 301.97/x
  3. Step 3: Cross multiply
    467.63x = 645.41 × 301.97
  4. Step 4: Simplify right side
    467.63x = 194,894.56
  5. Step 5: Solve for x
    x = 194,894.56/467.63
  6. Step 6: Final answer
    x = 416.78

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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.