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Finding the Fourth Proportional to 811.12, 1,215.73 and 324.31

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Solution

The fourth proportional to 811.12, 1,215.73 and 324.31 is: 486.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.12 : 1,215.73 = 324.31 : x
  2. Step 2: Convert to fraction form
    811.12/1,215.73 = 324.31/x
  3. Step 3: Cross multiply
    811.12x = 1,215.73 × 324.31
  4. Step 4: Simplify right side
    811.12x = 394,273.40
  5. Step 5: Solve for x
    x = 394,273.40/811.12
  6. Step 6: Final answer
    x = 486.09

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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.