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Finding the Fourth Proportional to 849.35, 1,274.15 and 301.49

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Solution

The fourth proportional to 849.35, 1,274.15 and 301.49 is: 452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.35 : 1,274.15 = 301.49 : x
  2. Step 2: Convert to fraction form
    849.35/1,274.15 = 301.49/x
  3. Step 3: Cross multiply
    849.35x = 1,274.15 × 301.49
  4. Step 4: Simplify right side
    849.35x = 384,142.64
  5. Step 5: Solve for x
    x = 384,142.64/849.35
  6. Step 6: Final answer
    x = 452.28

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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.