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Finding the Fourth Proportional to 849.23, 1,273.89 and 301.67

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Solution

The fourth proportional to 849.23, 1,273.89 and 301.67 is: 452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.23 : 1,273.89 = 301.67 : x
  2. Step 2: Convert to fraction form
    849.23/1,273.89 = 301.67/x
  3. Step 3: Cross multiply
    849.23x = 1,273.89 × 301.67
  4. Step 4: Simplify right side
    849.23x = 384,294.40
  5. Step 5: Solve for x
    x = 384,294.40/849.23
  6. Step 6: Final answer
    x = 452.52

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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.