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Finding the Fourth Proportional to 814.75, 1,222.31 and 301.75

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Solution

The fourth proportional to 814.75, 1,222.31 and 301.75 is: 452.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.75 : 1,222.31 = 301.75 : x
  2. Step 2: Convert to fraction form
    814.75/1,222.31 = 301.75/x
  3. Step 3: Cross multiply
    814.75x = 1,222.31 × 301.75
  4. Step 4: Simplify right side
    814.75x = 368,830.53
  5. Step 5: Solve for x
    x = 368,830.53/814.75
  6. Step 6: Final answer
    x = 452.69

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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.