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Finding the Fourth Proportional to 701.43, 1,052.16 and 214.53

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Solution

The fourth proportional to 701.43, 1,052.16 and 214.53 is: 321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.43 : 1,052.16 = 214.53 : x
  2. Step 2: Convert to fraction form
    701.43/1,052.16 = 214.53/x
  3. Step 3: Cross multiply
    701.43x = 1,052.16 × 214.53
  4. Step 4: Simplify right side
    701.43x = 225,719.88
  5. Step 5: Solve for x
    x = 225,719.88/701.43
  6. Step 6: Final answer
    x = 321.80

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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.