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Finding the Fourth Proportional to 488.87, 674.65 and 267.84

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Solution

The fourth proportional to 488.87, 674.65 and 267.84 is: 369.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.87 : 674.65 = 267.84 : x
  2. Step 2: Convert to fraction form
    488.87/674.65 = 267.84/x
  3. Step 3: Cross multiply
    488.87x = 674.65 × 267.84
  4. Step 4: Simplify right side
    488.87x = 180,693.54
  5. Step 5: Solve for x
    x = 180,693.54/488.87
  6. Step 6: Final answer
    x = 369.62

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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.