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Finding the Fourth Proportional to 464.46, 641.02 and 267.97

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Solution

The fourth proportional to 464.46, 641.02 and 267.97 is: 369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.46 : 641.02 = 267.97 : x
  2. Step 2: Convert to fraction form
    464.46/641.02 = 267.97/x
  3. Step 3: Cross multiply
    464.46x = 641.02 × 267.97
  4. Step 4: Simplify right side
    464.46x = 171,774.13
  5. Step 5: Solve for x
    x = 171,774.13/464.46
  6. Step 6: Final answer
    x = 369.84

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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.