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Finding the Fourth Proportional to 464.60, 641.16 and 268.13

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Solution

The fourth proportional to 464.60, 641.16 and 268.13 is: 370.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.60 : 641.16 = 268.13 : x
  2. Step 2: Convert to fraction form
    464.60/641.16 = 268.13/x
  3. Step 3: Cross multiply
    464.60x = 641.16 × 268.13
  4. Step 4: Simplify right side
    464.60x = 171,912.03
  5. Step 5: Solve for x
    x = 171,912.03/464.60
  6. Step 6: Final answer
    x = 370.02

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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.