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Finding the Fourth Proportional to 464.63, 641.26 and 268.10

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Solution

The fourth proportional to 464.63, 641.26 and 268.10 is: 370.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.63 : 641.26 = 268.10 : x
  2. Step 2: Convert to fraction form
    464.63/641.26 = 268.10/x
  3. Step 3: Cross multiply
    464.63x = 641.26 × 268.10
  4. Step 4: Simplify right side
    464.63x = 171,922.74
  5. Step 5: Solve for x
    x = 171,922.74/464.63
  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.