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Finding the Fourth Proportional to 463.58, 639.87 and 267.17

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Solution

The fourth proportional to 463.58, 639.87 and 267.17 is: 368.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.58 : 639.87 = 267.17 : x
  2. Step 2: Convert to fraction form
    463.58/639.87 = 267.17/x
  3. Step 3: Cross multiply
    463.58x = 639.87 × 267.17
  4. Step 4: Simplify right side
    463.58x = 170,954.07
  5. Step 5: Solve for x
    x = 170,954.07/463.58
  6. Step 6: Final answer
    x = 368.77

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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.