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Finding the Fourth Proportional to 488.49, 674.09 and 267.45

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Solution

The fourth proportional to 488.49, 674.09 and 267.45 is: 369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.49 : 674.09 = 267.45 : x
  2. Step 2: Convert to fraction form
    488.49/674.09 = 267.45/x
  3. Step 3: Cross multiply
    488.49x = 674.09 × 267.45
  4. Step 4: Simplify right side
    488.49x = 180,285.37
  5. Step 5: Solve for x
    x = 180,285.37/488.49
  6. Step 6: Final answer
    x = 369.07

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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.