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Finding the Fourth Proportional to 705.20, 1,057.44 and 272.48

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Solution

The fourth proportional to 705.20, 1,057.44 and 272.48 is: 408.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.20 : 1,057.44 = 272.48 : x
  2. Step 2: Convert to fraction form
    705.20/1,057.44 = 272.48/x
  3. Step 3: Cross multiply
    705.20x = 1,057.44 × 272.48
  4. Step 4: Simplify right side
    705.20x = 288,131.25
  5. Step 5: Solve for x
    x = 288,131.25/705.20
  6. Step 6: Final answer
    x = 408.58

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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.