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Finding the Fourth Proportional to 451.90, 681.23 and 404.92

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Solution

The fourth proportional to 451.90, 681.23 and 404.92 is: 610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.90 : 681.23 = 404.92 : x
  2. Step 2: Convert to fraction form
    451.90/681.23 = 404.92/x
  3. Step 3: Cross multiply
    451.90x = 681.23 × 404.92
  4. Step 4: Simplify right side
    451.90x = 275,843.65
  5. Step 5: Solve for x
    x = 275,843.65/451.90
  6. Step 6: Final answer
    x = 610.41

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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.