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Finding the Fourth Proportional to 451.02, 622.11 and 284.97

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Solution

The fourth proportional to 451.02, 622.11 and 284.97 is: 393.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.02 : 622.11 = 284.97 : x
  2. Step 2: Convert to fraction form
    451.02/622.11 = 284.97/x
  3. Step 3: Cross multiply
    451.02x = 622.11 × 284.97
  4. Step 4: Simplify right side
    451.02x = 177,282.69
  5. Step 5: Solve for x
    x = 177,282.69/451.02
  6. Step 6: Final answer
    x = 393.07

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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.