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Finding the Fourth Proportional to 464.33, 640.61 and 267.77

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Solution

The fourth proportional to 464.33, 640.61 and 267.77 is: 369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.33 : 640.61 = 267.77 : x
  2. Step 2: Convert to fraction form
    464.33/640.61 = 267.77/x
  3. Step 3: Cross multiply
    464.33x = 640.61 × 267.77
  4. Step 4: Simplify right side
    464.33x = 171,537.54
  5. Step 5: Solve for x
    x = 171,537.54/464.33
  6. Step 6: Final answer
    x = 369.43

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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.