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Finding the Fourth Proportional to 451.26, 677.07 and 314.24

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Solution

The fourth proportional to 451.26, 677.07 and 314.24 is: 471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.26 : 677.07 = 314.24 : x
  2. Step 2: Convert to fraction form
    451.26/677.07 = 314.24/x
  3. Step 3: Cross multiply
    451.26x = 677.07 × 314.24
  4. Step 4: Simplify right side
    451.26x = 212,759.09
  5. Step 5: Solve for x
    x = 212,759.09/451.26
  6. Step 6: Final answer
    x = 471.48

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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.