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Finding the Fourth Proportional to 849.82, 1,274.82 and 233.53

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Solution

The fourth proportional to 849.82, 1,274.82 and 233.53 is: 350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.82 : 1,274.82 = 233.53 : x
  2. Step 2: Convert to fraction form
    849.82/1,274.82 = 233.53/x
  3. Step 3: Cross multiply
    849.82x = 1,274.82 × 233.53
  4. Step 4: Simplify right side
    849.82x = 297,708.61
  5. Step 5: Solve for x
    x = 297,708.61/849.82
  6. Step 6: Final answer
    x = 350.32

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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.