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Finding the Fourth Proportional to 463.67, 639.92 and 267.23

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Solution

The fourth proportional to 463.67, 639.92 and 267.23 is: 368.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.67 : 639.92 = 267.23 : x
  2. Step 2: Convert to fraction form
    463.67/639.92 = 267.23/x
  3. Step 3: Cross multiply
    463.67x = 639.92 × 267.23
  4. Step 4: Simplify right side
    463.67x = 171,005.82
  5. Step 5: Solve for x
    x = 171,005.82/463.67
  6. Step 6: Final answer
    x = 368.81

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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.