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Finding the Fourth Proportional to 849.47, 1,274.27 and 329.72

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Solution

The fourth proportional to 849.47, 1,274.27 and 329.72 is: 494.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.47 : 1,274.27 = 329.72 : x
  2. Step 2: Convert to fraction form
    849.47/1,274.27 = 329.72/x
  3. Step 3: Cross multiply
    849.47x = 1,274.27 × 329.72
  4. Step 4: Simplify right side
    849.47x = 420,144.28
  5. Step 5: Solve for x
    x = 420,144.28/849.47
  6. Step 6: Final answer
    x = 494.60

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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.