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Finding the Fourth Proportional to 705.44, 1,058.28 and 218.56

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Solution

The fourth proportional to 705.44, 1,058.28 and 218.56 is: 327.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.44 : 1,058.28 = 218.56 : x
  2. Step 2: Convert to fraction form
    705.44/1,058.28 = 218.56/x
  3. Step 3: Cross multiply
    705.44x = 1,058.28 × 218.56
  4. Step 4: Simplify right side
    705.44x = 231,297.68
  5. Step 5: Solve for x
    x = 231,297.68/705.44
  6. Step 6: Final answer
    x = 327.88

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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.