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Finding the Fourth Proportional to 467.09, 644.56 and 267.95

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Solution

The fourth proportional to 467.09, 644.56 and 267.95 is: 369.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.09 : 644.56 = 267.95 : x
  2. Step 2: Convert to fraction form
    467.09/644.56 = 267.95/x
  3. Step 3: Cross multiply
    467.09x = 644.56 × 267.95
  4. Step 4: Simplify right side
    467.09x = 172,709.85
  5. Step 5: Solve for x
    x = 172,709.85/467.09
  6. Step 6: Final answer
    x = 369.76

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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.