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Finding the Fourth Proportional to 622.84, 859.57 and 374.26

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Solution

The fourth proportional to 622.84, 859.57 and 374.26 is: 516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.84 : 859.57 = 374.26 : x
  2. Step 2: Convert to fraction form
    622.84/859.57 = 374.26/x
  3. Step 3: Cross multiply
    622.84x = 859.57 × 374.26
  4. Step 4: Simplify right side
    622.84x = 321,705.28
  5. Step 5: Solve for x
    x = 321,705.28/622.84
  6. Step 6: Final answer
    x = 516.51

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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.