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Finding the Fourth Proportional to 496.62, 748.33 and 411.84

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Solution

The fourth proportional to 496.62, 748.33 and 411.84 is: 620.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.62 : 748.33 = 411.84 : x
  2. Step 2: Convert to fraction form
    496.62/748.33 = 411.84/x
  3. Step 3: Cross multiply
    496.62x = 748.33 × 411.84
  4. Step 4: Simplify right side
    496.62x = 308,191.20
  5. Step 5: Solve for x
    x = 308,191.20/496.62
  6. Step 6: Final answer
    x = 620.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.