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Finding the Fourth Proportional to 464.68, 641.25 and 268.25

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Solution

The fourth proportional to 464.68, 641.25 and 268.25 is: 370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.68 : 641.25 = 268.25 : x
  2. Step 2: Convert to fraction form
    464.68/641.25 = 268.25/x
  3. Step 3: Cross multiply
    464.68x = 641.25 × 268.25
  4. Step 4: Simplify right side
    464.68x = 172,013.97
  5. Step 5: Solve for x
    x = 172,013.97/464.68
  6. Step 6: Final answer
    x = 370.18

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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.