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Finding the Fourth Proportional to 849.10, 1,274.22 and 362.27

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Solution

The fourth proportional to 849.10, 1,274.22 and 362.27 is: 543.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.10 : 1,274.22 = 362.27 : x
  2. Step 2: Convert to fraction form
    849.10/1,274.22 = 362.27/x
  3. Step 3: Cross multiply
    849.10x = 1,274.22 × 362.27
  4. Step 4: Simplify right side
    849.10x = 461,605.31
  5. Step 5: Solve for x
    x = 461,605.31/849.10
  6. Step 6: Final answer
    x = 543.64

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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.