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Finding the Fourth Proportional to 441.73, 662.93 and 287.27

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Solution

The fourth proportional to 441.73, 662.93 and 287.27 is: 431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.73 : 662.93 = 287.27 : x
  2. Step 2: Convert to fraction form
    441.73/662.93 = 287.27/x
  3. Step 3: Cross multiply
    441.73x = 662.93 × 287.27
  4. Step 4: Simplify right side
    441.73x = 190,442.19
  5. Step 5: Solve for x
    x = 190,442.19/441.73
  6. Step 6: Final answer
    x = 431.13

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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.