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Finding the Fourth Proportional to 441.88, 662.84 and 117.24

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Solution

The fourth proportional to 441.88, 662.84 and 117.24 is: 175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.88 : 662.84 = 117.24 : x
  2. Step 2: Convert to fraction form
    441.88/662.84 = 117.24/x
  3. Step 3: Cross multiply
    441.88x = 662.84 × 117.24
  4. Step 4: Simplify right side
    441.88x = 77,708.05
  5. Step 5: Solve for x
    x = 77,708.05/441.88
  6. Step 6: Final answer
    x = 175.86

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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.