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Finding the Fourth Proportional to 488.49, 674.13 and 267.46

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Solution

The fourth proportional to 488.49, 674.13 and 267.46 is: 369.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.49 : 674.13 = 267.46 : x
  2. Step 2: Convert to fraction form
    488.49/674.13 = 267.46/x
  3. Step 3: Cross multiply
    488.49x = 674.13 × 267.46
  4. Step 4: Simplify right side
    488.49x = 180,302.81
  5. Step 5: Solve for x
    x = 180,302.81/488.49
  6. Step 6: Final answer
    x = 369.10

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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.