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Finding the Fourth Proportional to 451.27, 674.91 and 277.51

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Solution

The fourth proportional to 451.27, 674.91 and 277.51 is: 415.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.27 : 674.91 = 277.51 : x
  2. Step 2: Convert to fraction form
    451.27/674.91 = 277.51/x
  3. Step 3: Cross multiply
    451.27x = 674.91 × 277.51
  4. Step 4: Simplify right side
    451.27x = 187,294.27
  5. Step 5: Solve for x
    x = 187,294.27/451.27
  6. Step 6: Final answer
    x = 415.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.