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Finding the Fourth Proportional to 664.05, 995.41 and 274.34

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Solution

The fourth proportional to 664.05, 995.41 and 274.34 is: 411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.05 : 995.41 = 274.34 : x
  2. Step 2: Convert to fraction form
    664.05/995.41 = 274.34/x
  3. Step 3: Cross multiply
    664.05x = 995.41 × 274.34
  4. Step 4: Simplify right side
    664.05x = 273,075.12
  5. Step 5: Solve for x
    x = 273,075.12/664.05
  6. Step 6: Final answer
    x = 411.23

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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.