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Finding the Fourth Proportional to 852, 1,278.30 and 419.46

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Solution

The fourth proportional to 852, 1,278.30 and 419.46 is: 629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    852 : 1,278.30 = 419.46 : x
  2. Step 2: Convert to fraction form
    852/1,278.30 = 419.46/x
  3. Step 3: Cross multiply
    852x = 1,278.30 × 419.46
  4. Step 4: Simplify right side
    852x = 536,195.72
  5. Step 5: Solve for x
    x = 536,195.72/852
  6. Step 6: Final answer
    x = 629.34

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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.