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Finding the Fourth Proportional to 451.26, 622.68 and 274.20

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Solution

The fourth proportional to 451.26, 622.68 and 274.20 is: 378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.26 : 622.68 = 274.20 : x
  2. Step 2: Convert to fraction form
    451.26/622.68 = 274.20/x
  3. Step 3: Cross multiply
    451.26x = 622.68 × 274.20
  4. Step 4: Simplify right side
    451.26x = 170,738.86
  5. Step 5: Solve for x
    x = 170,738.86/451.26
  6. Step 6: Final answer
    x = 378.36

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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.