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Finding the Fourth Proportional to 441.53, 662.29 and 116.92

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Solution

The fourth proportional to 441.53, 662.29 and 116.92 is: 175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.53 : 662.29 = 116.92 : x
  2. Step 2: Convert to fraction form
    441.53/662.29 = 116.92/x
  3. Step 3: Cross multiply
    441.53x = 662.29 × 116.92
  4. Step 4: Simplify right side
    441.53x = 77,434.95
  5. Step 5: Solve for x
    x = 77,434.95/441.53
  6. Step 6: Final answer
    x = 175.38

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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.