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Finding the Fourth Proportional to 837.44, 1,256.25 and 350.22

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Solution

The fourth proportional to 837.44, 1,256.25 and 350.22 is: 525.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.44 : 1,256.25 = 350.22 : x
  2. Step 2: Convert to fraction form
    837.44/1,256.25 = 350.22/x
  3. Step 3: Cross multiply
    837.44x = 1,256.25 × 350.22
  4. Step 4: Simplify right side
    837.44x = 439,963.88
  5. Step 5: Solve for x
    x = 439,963.88/837.44
  6. Step 6: Final answer
    x = 525.37

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