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Finding the Fourth Proportional to 451.52, 622.84 and 396.39

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Solution

The fourth proportional to 451.52, 622.84 and 396.39 is: 546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.52 : 622.84 = 396.39 : x
  2. Step 2: Convert to fraction form
    451.52/622.84 = 396.39/x
  3. Step 3: Cross multiply
    451.52x = 622.84 × 396.39
  4. Step 4: Simplify right side
    451.52x = 246,889.64
  5. Step 5: Solve for x
    x = 246,889.64/451.52
  6. Step 6: Final answer
    x = 546.79

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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.