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Finding the Fourth Proportional to 441.85, 663 and 182.05

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Solution

The fourth proportional to 441.85, 663 and 182.05 is: 273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.85 : 663 = 182.05 : x
  2. Step 2: Convert to fraction form
    441.85/663 = 182.05/x
  3. Step 3: Cross multiply
    441.85x = 663 × 182.05
  4. Step 4: Simplify right side
    441.85x = 120,699.15
  5. Step 5: Solve for x
    x = 120,699.15/441.85
  6. Step 6: Final answer
    x = 273.17

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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.