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Finding the Fourth Proportional to 849.30, 1,273.84 and 233.06

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Solution

The fourth proportional to 849.30, 1,273.84 and 233.06 is: 349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.30 : 1,273.84 = 233.06 : x
  2. Step 2: Convert to fraction form
    849.30/1,273.84 = 233.06/x
  3. Step 3: Cross multiply
    849.30x = 1,273.84 × 233.06
  4. Step 4: Simplify right side
    849.30x = 296,874.78
  5. Step 5: Solve for x
    x = 296,874.78/849.30
  6. Step 6: Final answer
    x = 349.55

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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.