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Finding the Fourth Proportional to 467.05, 644.35 and 267.89

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Solution

The fourth proportional to 467.05, 644.35 and 267.89 is: 369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.05 : 644.35 = 267.89 : x
  2. Step 2: Convert to fraction form
    467.05/644.35 = 267.89/x
  3. Step 3: Cross multiply
    467.05x = 644.35 × 267.89
  4. Step 4: Simplify right side
    467.05x = 172,614.92
  5. Step 5: Solve for x
    x = 172,614.92/467.05
  6. Step 6: Final answer
    x = 369.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.