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Finding the Fourth Proportional to 451.43, 674.79 and 440.49

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Solution

The fourth proportional to 451.43, 674.79 and 440.49 is: 658.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.43 : 674.79 = 440.49 : x
  2. Step 2: Convert to fraction form
    451.43/674.79 = 440.49/x
  3. Step 3: Cross multiply
    451.43x = 674.79 × 440.49
  4. Step 4: Simplify right side
    451.43x = 297,238.25
  5. Step 5: Solve for x
    x = 297,238.25/451.43
  6. Step 6: Final answer
    x = 658.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.