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Finding the Fourth Proportional to 463.28, 639.28 and 306.25

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Solution

The fourth proportional to 463.28, 639.28 and 306.25 is: 422.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.28 : 639.28 = 306.25 : x
  2. Step 2: Convert to fraction form
    463.28/639.28 = 306.25/x
  3. Step 3: Cross multiply
    463.28x = 639.28 × 306.25
  4. Step 4: Simplify right side
    463.28x = 195,777.14
  5. Step 5: Solve for x
    x = 195,777.14/463.28
  6. Step 6: Final answer
    x = 422.59

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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.