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Finding the Fourth Proportional to 869, 1,302.68 and 321.06

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Solution

The fourth proportional to 869, 1,302.68 and 321.06 is: 481.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    869 : 1,302.68 = 321.06 : x
  2. Step 2: Convert to fraction form
    869/1,302.68 = 321.06/x
  3. Step 3: Cross multiply
    869x = 1,302.68 × 321.06
  4. Step 4: Simplify right side
    869x = 418,238.44
  5. Step 5: Solve for x
    x = 418,238.44/869
  6. Step 6: Final answer
    x = 481.29

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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.