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Finding the Fourth Proportional to 622.84, 859.86 and 374.22

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Solution

The fourth proportional to 622.84, 859.86 and 374.22 is: 516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.84 : 859.86 = 374.22 : x
  2. Step 2: Convert to fraction form
    622.84/859.86 = 374.22/x
  3. Step 3: Cross multiply
    622.84x = 859.86 × 374.22
  4. Step 4: Simplify right side
    622.84x = 321,777.74
  5. Step 5: Solve for x
    x = 321,777.74/622.84
  6. Step 6: Final answer
    x = 516.63

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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.