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Finding the Fourth Proportional to 852.27, 1,278.89 and 419.46

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Solution

The fourth proportional to 852.27, 1,278.89 and 419.46 is: 629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.27 : 1,278.89 = 419.46 : x
  2. Step 2: Convert to fraction form
    852.27/1,278.89 = 419.46/x
  3. Step 3: Cross multiply
    852.27x = 1,278.89 × 419.46
  4. Step 4: Simplify right side
    852.27x = 536,441.10
  5. Step 5: Solve for x
    x = 536,441.10/852.27
  6. Step 6: Final answer
    x = 629.43

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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.