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Finding the Fourth Proportional to 622.25, 859.43 and 425.42

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Solution

The fourth proportional to 622.25, 859.43 and 425.42 is: 587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.25 : 859.43 = 425.42 : x
  2. Step 2: Convert to fraction form
    622.25/859.43 = 425.42/x
  3. Step 3: Cross multiply
    622.25x = 859.43 × 425.42
  4. Step 4: Simplify right side
    622.25x = 365,616.58
  5. Step 5: Solve for x
    x = 365,616.58/622.25
  6. Step 6: Final answer
    x = 587.57

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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.