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Finding the Fourth Proportional to 622.82, 859.41 and 343.00

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Solution

The fourth proportional to 622.82, 859.41 and 343.00 is: 473.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.82 : 859.41 = 343.00 : x
  2. Step 2: Convert to fraction form
    622.82/859.41 = 343.00/x
  3. Step 3: Cross multiply
    622.82x = 859.41 × 343.00
  4. Step 4: Simplify right side
    622.82x = 294,778.70
  5. Step 5: Solve for x
    x = 294,778.70/622.82
  6. Step 6: Final answer
    x = 473.29

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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.