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Finding the Fourth Proportional to 838.68, 1,258.23 and 351.78

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Solution

The fourth proportional to 838.68, 1,258.23 and 351.78 is: 527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.68 : 1,258.23 = 351.78 : x
  2. Step 2: Convert to fraction form
    838.68/1,258.23 = 351.78/x
  3. Step 3: Cross multiply
    838.68x = 1,258.23 × 351.78
  4. Step 4: Simplify right side
    838.68x = 442,620.15
  5. Step 5: Solve for x
    x = 442,620.15/838.68
  6. Step 6: Final answer
    x = 527.76

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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.