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Finding the Fourth Proportional to 464.71, 641.34 and 268.29

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Solution

The fourth proportional to 464.71, 641.34 and 268.29 is: 370.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.71 : 641.34 = 268.29 : x
  2. Step 2: Convert to fraction form
    464.71/641.34 = 268.29/x
  3. Step 3: Cross multiply
    464.71x = 641.34 × 268.29
  4. Step 4: Simplify right side
    464.71x = 172,065.11
  5. Step 5: Solve for x
    x = 172,065.11/464.71
  6. Step 6: Final answer
    x = 370.26

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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.