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Finding the Fourth Proportional to 622.09, 932.52 and 257.09

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Solution

The fourth proportional to 622.09, 932.52 and 257.09 is: 385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.09 : 932.52 = 257.09 : x
  2. Step 2: Convert to fraction form
    622.09/932.52 = 257.09/x
  3. Step 3: Cross multiply
    622.09x = 932.52 × 257.09
  4. Step 4: Simplify right side
    622.09x = 239,736.90
  5. Step 5: Solve for x
    x = 239,736.90/622.09
  6. Step 6: Final answer
    x = 385.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.