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Finding the Fourth Proportional to 674.23, 1,010.84 and 349.39

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Solution

The fourth proportional to 674.23, 1,010.84 and 349.39 is: 523.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.23 : 1,010.84 = 349.39 : x
  2. Step 2: Convert to fraction form
    674.23/1,010.84 = 349.39/x
  3. Step 3: Cross multiply
    674.23x = 1,010.84 × 349.39
  4. Step 4: Simplify right side
    674.23x = 353,175.64
  5. Step 5: Solve for x
    x = 353,175.64/674.23
  6. Step 6: Final answer
    x = 523.82

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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.