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Finding the Fourth Proportional to 441.69, 662.49 and 117.09

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Solution

The fourth proportional to 441.69, 662.49 and 117.09 is: 175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.69 : 662.49 = 117.09 : x
  2. Step 2: Convert to fraction form
    441.69/662.49 = 117.09/x
  3. Step 3: Cross multiply
    441.69x = 662.49 × 117.09
  4. Step 4: Simplify right side
    441.69x = 77,570.95
  5. Step 5: Solve for x
    x = 77,570.95/441.69
  6. Step 6: Final answer
    x = 175.62

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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.