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Finding the Fourth Proportional to 814.83, 1,222.31 and 321.22

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Solution

The fourth proportional to 814.83, 1,222.31 and 321.22 is: 481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.83 : 1,222.31 = 321.22 : x
  2. Step 2: Convert to fraction form
    814.83/1,222.31 = 321.22/x
  3. Step 3: Cross multiply
    814.83x = 1,222.31 × 321.22
  4. Step 4: Simplify right side
    814.83x = 392,630.42
  5. Step 5: Solve for x
    x = 392,630.42/814.83
  6. Step 6: Final answer
    x = 481.86

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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.