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Finding the Fourth Proportional to 464.52, 640.96 and 267.99

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Solution

The fourth proportional to 464.52, 640.96 and 267.99 is: 369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.52 : 640.96 = 267.99 : x
  2. Step 2: Convert to fraction form
    464.52/640.96 = 267.99/x
  3. Step 3: Cross multiply
    464.52x = 640.96 × 267.99
  4. Step 4: Simplify right side
    464.52x = 171,770.87
  5. Step 5: Solve for x
    x = 171,770.87/464.52
  6. Step 6: Final answer
    x = 369.78

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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.