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Finding the Fourth Proportional to 451.33, 622.75 and 274.24

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Solution

The fourth proportional to 451.33, 622.75 and 274.24 is: 378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.33 : 622.75 = 274.24 : x
  2. Step 2: Convert to fraction form
    451.33/622.75 = 274.24/x
  3. Step 3: Cross multiply
    451.33x = 622.75 × 274.24
  4. Step 4: Simplify right side
    451.33x = 170,782.96
  5. Step 5: Solve for x
    x = 170,782.96/451.33
  6. Step 6: Final answer
    x = 378.40

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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.