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Finding the Fourth Proportional to 838.05, 1,256.73 and 344.37

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Solution

The fourth proportional to 838.05, 1,256.73 and 344.37 is: 516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.05 : 1,256.73 = 344.37 : x
  2. Step 2: Convert to fraction form
    838.05/1,256.73 = 344.37/x
  3. Step 3: Cross multiply
    838.05x = 1,256.73 × 344.37
  4. Step 4: Simplify right side
    838.05x = 432,780.11
  5. Step 5: Solve for x
    x = 432,780.11/838.05
  6. Step 6: Final answer
    x = 516.41

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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.