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Finding the Fourth Proportional to 849.31, 1,273.59 and 301.31

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Solution

The fourth proportional to 849.31, 1,273.59 and 301.31 is: 451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.31 : 1,273.59 = 301.31 : x
  2. Step 2: Convert to fraction form
    849.31/1,273.59 = 301.31/x
  3. Step 3: Cross multiply
    849.31x = 1,273.59 × 301.31
  4. Step 4: Simplify right side
    849.31x = 383,745.40
  5. Step 5: Solve for x
    x = 383,745.40/849.31
  6. Step 6: Final answer
    x = 451.83

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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.