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Finding the Fourth Proportional to 638.63, 959.16 and 396.84

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Solution

The fourth proportional to 638.63, 959.16 and 396.84 is: 596.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.63 : 959.16 = 396.84 : x
  2. Step 2: Convert to fraction form
    638.63/959.16 = 396.84/x
  3. Step 3: Cross multiply
    638.63x = 959.16 × 396.84
  4. Step 4: Simplify right side
    638.63x = 380,635.91
  5. Step 5: Solve for x
    x = 380,635.91/638.63
  6. Step 6: Final answer
    x = 596.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.