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Finding the Fourth Proportional to 451.92, 622.02 and 320.70

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Solution

The fourth proportional to 451.92, 622.02 and 320.70 is: 441.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.92 : 622.02 = 320.70 : x
  2. Step 2: Convert to fraction form
    451.92/622.02 = 320.70/x
  3. Step 3: Cross multiply
    451.92x = 622.02 × 320.70
  4. Step 4: Simplify right side
    451.92x = 199,481.81
  5. Step 5: Solve for x
    x = 199,481.81/451.92
  6. Step 6: Final answer
    x = 441.41

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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.