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Finding the Fourth Proportional to 849.32, 1,273.76 and 301.42

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Solution

The fourth proportional to 849.32, 1,273.76 and 301.42 is: 452.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.32 : 1,273.76 = 301.42 : x
  2. Step 2: Convert to fraction form
    849.32/1,273.76 = 301.42/x
  3. Step 3: Cross multiply
    849.32x = 1,273.76 × 301.42
  4. Step 4: Simplify right side
    849.32x = 383,937.95
  5. Step 5: Solve for x
    x = 383,937.95/849.32
  6. Step 6: Final answer
    x = 452.05

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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.