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Finding the Fourth Proportional to 488.74, 674.47 and 267.70

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Solution

The fourth proportional to 488.74, 674.47 and 267.70 is: 369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.74 : 674.47 = 267.70 : x
  2. Step 2: Convert to fraction form
    488.74/674.47 = 267.70/x
  3. Step 3: Cross multiply
    488.74x = 674.47 × 267.70
  4. Step 4: Simplify right side
    488.74x = 180,555.62
  5. Step 5: Solve for x
    x = 180,555.62/488.74
  6. Step 6: Final answer
    x = 369.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.