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Finding the Fourth Proportional to 701.44, 1,052.16 and 214.52

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Solution

The fourth proportional to 701.44, 1,052.16 and 214.52 is: 321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.44 : 1,052.16 = 214.52 : x
  2. Step 2: Convert to fraction form
    701.44/1,052.16 = 214.52/x
  3. Step 3: Cross multiply
    701.44x = 1,052.16 × 214.52
  4. Step 4: Simplify right side
    701.44x = 225,709.36
  5. Step 5: Solve for x
    x = 225,709.36/701.44
  6. Step 6: Final answer
    x = 321.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.