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Finding the Fourth Proportional to 441.46, 662.64 and 294.73

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Solution

The fourth proportional to 441.46, 662.64 and 294.73 is: 442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.46 : 662.64 = 294.73 : x
  2. Step 2: Convert to fraction form
    441.46/662.64 = 294.73/x
  3. Step 3: Cross multiply
    441.46x = 662.64 × 294.73
  4. Step 4: Simplify right side
    441.46x = 195,300.13
  5. Step 5: Solve for x
    x = 195,300.13/441.46
  6. Step 6: Final answer
    x = 442.40

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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.