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Finding the Fourth Proportional to 674.68, 1,012.02 and 349.06

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Solution

The fourth proportional to 674.68, 1,012.02 and 349.06 is: 523.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.68 : 1,012.02 = 349.06 : x
  2. Step 2: Convert to fraction form
    674.68/1,012.02 = 349.06/x
  3. Step 3: Cross multiply
    674.68x = 1,012.02 × 349.06
  4. Step 4: Simplify right side
    674.68x = 353,255.70
  5. Step 5: Solve for x
    x = 353,255.70/674.68
  6. Step 6: Final answer
    x = 523.59

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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.