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Finding the Fourth Proportional to 464.57, 641.10 and 268.14

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Solution

The fourth proportional to 464.57, 641.10 and 268.14 is: 370.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.57 : 641.10 = 268.14 : x
  2. Step 2: Convert to fraction form
    464.57/641.10 = 268.14/x
  3. Step 3: Cross multiply
    464.57x = 641.10 × 268.14
  4. Step 4: Simplify right side
    464.57x = 171,903.21
  5. Step 5: Solve for x
    x = 171,903.21/464.57
  6. Step 6: Final answer
    x = 370.03

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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.