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Finding the Fourth Proportional to 674.67, 1,010.12 and 344.90

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Solution

The fourth proportional to 674.67, 1,010.12 and 344.90 is: 516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.67 : 1,010.12 = 344.90 : x
  2. Step 2: Convert to fraction form
    674.67/1,010.12 = 344.90/x
  3. Step 3: Cross multiply
    674.67x = 1,010.12 × 344.90
  4. Step 4: Simplify right side
    674.67x = 348,387.45
  5. Step 5: Solve for x
    x = 348,387.45/674.67
  6. Step 6: Final answer
    x = 516.38

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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.