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Finding the Fourth Proportional to 622.14, 859.59 and 518.46

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Solution

The fourth proportional to 622.14, 859.59 and 518.46 is: 716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.14 : 859.59 = 518.46 : x
  2. Step 2: Convert to fraction form
    622.14/859.59 = 518.46/x
  3. Step 3: Cross multiply
    622.14x = 859.59 × 518.46
  4. Step 4: Simplify right side
    622.14x = 445,663.03
  5. Step 5: Solve for x
    x = 445,663.03/622.14
  6. Step 6: Final answer
    x = 716.34

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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.