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Finding the Fourth Proportional to 849.64, 1,274.12 and 329.36

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Solution

The fourth proportional to 849.64, 1,274.12 and 329.36 is: 493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.64 : 1,274.12 = 329.36 : x
  2. Step 2: Convert to fraction form
    849.64/1,274.12 = 329.36/x
  3. Step 3: Cross multiply
    849.64x = 1,274.12 × 329.36
  4. Step 4: Simplify right side
    849.64x = 419,644.16
  5. Step 5: Solve for x
    x = 419,644.16/849.64
  6. Step 6: Final answer
    x = 493.91

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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.