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Finding the Fourth Proportional to 464.67, 641.33 and 268.31

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Solution

The fourth proportional to 464.67, 641.33 and 268.31 is: 370.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.67 : 641.33 = 268.31 : x
  2. Step 2: Convert to fraction form
    464.67/641.33 = 268.31/x
  3. Step 3: Cross multiply
    464.67x = 641.33 × 268.31
  4. Step 4: Simplify right side
    464.67x = 172,070.70
  5. Step 5: Solve for x
    x = 172,070.70/464.67
  6. Step 6: Final answer
    x = 370.31

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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.