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Finding the Fourth Proportional to 451.20, 622.56 and 274.14

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Solution

The fourth proportional to 451.20, 622.56 and 274.14 is: 378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.20 : 622.56 = 274.14 : x
  2. Step 2: Convert to fraction form
    451.20/622.56 = 274.14/x
  3. Step 3: Cross multiply
    451.20x = 622.56 × 274.14
  4. Step 4: Simplify right side
    451.20x = 170,668.60
  5. Step 5: Solve for x
    x = 170,668.60/451.20
  6. Step 6: Final answer
    x = 378.25

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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.