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Finding the Fourth Proportional to 451.62, 677.39 and 306.31

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Solution

The fourth proportional to 451.62, 677.39 and 306.31 is: 459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.62 : 677.39 = 306.31 : x
  2. Step 2: Convert to fraction form
    451.62/677.39 = 306.31/x
  3. Step 3: Cross multiply
    451.62x = 677.39 × 306.31
  4. Step 4: Simplify right side
    451.62x = 207,487.94
  5. Step 5: Solve for x
    x = 207,487.94/451.62
  6. Step 6: Final answer
    x = 459.43

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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.