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Finding the Fourth Proportional to 838.22, 1,257.78 and 351.26

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Solution

The fourth proportional to 838.22, 1,257.78 and 351.26 is: 527.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.22 : 1,257.78 = 351.26 : x
  2. Step 2: Convert to fraction form
    838.22/1,257.78 = 351.26/x
  3. Step 3: Cross multiply
    838.22x = 1,257.78 × 351.26
  4. Step 4: Simplify right side
    838.22x = 441,807.80
  5. Step 5: Solve for x
    x = 441,807.80/838.22
  6. Step 6: Final answer
    x = 527.08

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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.