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Finding the Fourth Proportional to 496.98, 743.85 and 455.40

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Solution

The fourth proportional to 496.98, 743.85 and 455.40 is: 681.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.98 : 743.85 = 455.40 : x
  2. Step 2: Convert to fraction form
    496.98/743.85 = 455.40/x
  3. Step 3: Cross multiply
    496.98x = 743.85 × 455.40
  4. Step 4: Simplify right side
    496.98x = 338,749.29
  5. Step 5: Solve for x
    x = 338,749.29/496.98
  6. Step 6: Final answer
    x = 681.62

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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.