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Finding the Fourth Proportional to 464.72, 641.31 and 268.27

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Solution

The fourth proportional to 464.72, 641.31 and 268.27 is: 370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.72 : 641.31 = 268.27 : x
  2. Step 2: Convert to fraction form
    464.72/641.31 = 268.27/x
  3. Step 3: Cross multiply
    464.72x = 641.31 × 268.27
  4. Step 4: Simplify right side
    464.72x = 172,042.63
  5. Step 5: Solve for x
    x = 172,042.63/464.72
  6. Step 6: Final answer
    x = 370.21

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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.