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Finding the Fourth Proportional to 441.58, 662.40 and 419.74

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Solution

The fourth proportional to 441.58, 662.40 and 419.74 is: 629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.58 : 662.40 = 419.74 : x
  2. Step 2: Convert to fraction form
    441.58/662.40 = 419.74/x
  3. Step 3: Cross multiply
    441.58x = 662.40 × 419.74
  4. Step 4: Simplify right side
    441.58x = 278,035.78
  5. Step 5: Solve for x
    x = 278,035.78/441.58
  6. Step 6: Final answer
    x = 629.64

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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.