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Finding the Fourth Proportional to 622.49, 859.61 and 505.85

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Solution

The fourth proportional to 622.49, 859.61 and 505.85 is: 698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.49 : 859.61 = 505.85 : x
  2. Step 2: Convert to fraction form
    622.49/859.61 = 505.85/x
  3. Step 3: Cross multiply
    622.49x = 859.61 × 505.85
  4. Step 4: Simplify right side
    622.49x = 434,830.69
  5. Step 5: Solve for x
    x = 434,830.69/622.49
  6. Step 6: Final answer
    x = 698.54

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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.