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Finding the Fourth Proportional to 496.26, 743.93 and 455.26

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Solution

The fourth proportional to 496.26, 743.93 and 455.26 is: 682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.26 : 743.93 = 455.26 : x
  2. Step 2: Convert to fraction form
    496.26/743.93 = 455.26/x
  3. Step 3: Cross multiply
    496.26x = 743.93 × 455.26
  4. Step 4: Simplify right side
    496.26x = 338,680.85
  5. Step 5: Solve for x
    x = 338,680.85/496.26
  6. Step 6: Final answer
    x = 682.47

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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.