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Finding the Fourth Proportional to 622.26, 859.44 and 414.90

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Solution

The fourth proportional to 622.26, 859.44 and 414.90 is: 573.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.26 : 859.44 = 414.90 : x
  2. Step 2: Convert to fraction form
    622.26/859.44 = 414.90/x
  3. Step 3: Cross multiply
    622.26x = 859.44 × 414.90
  4. Step 4: Simplify right side
    622.26x = 356,581.66
  5. Step 5: Solve for x
    x = 356,581.66/622.26
  6. Step 6: Final answer
    x = 573.04

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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.