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Finding the Fourth Proportional to 463.48, 639.28 and 447.64

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Solution

The fourth proportional to 463.48, 639.28 and 447.64 is: 617.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.48 : 639.28 = 447.64 : x
  2. Step 2: Convert to fraction form
    463.48/639.28 = 447.64/x
  3. Step 3: Cross multiply
    463.48x = 639.28 × 447.64
  4. Step 4: Simplify right side
    463.48x = 286,167.30
  5. Step 5: Solve for x
    x = 286,167.30/463.48
  6. Step 6: Final answer
    x = 617.43

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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.