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Finding the Fourth Proportional to 464.97, 641.64 and 268.51

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Solution

The fourth proportional to 464.97, 641.64 and 268.51 is: 370.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.97 : 641.64 = 268.51 : x
  2. Step 2: Convert to fraction form
    464.97/641.64 = 268.51/x
  3. Step 3: Cross multiply
    464.97x = 641.64 × 268.51
  4. Step 4: Simplify right side
    464.97x = 172,286.76
  5. Step 5: Solve for x
    x = 172,286.76/464.97
  6. Step 6: Final answer
    x = 370.53

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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.