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Finding the Fourth Proportional to 442.38, 662.34 and 408.36

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Solution

The fourth proportional to 442.38, 662.34 and 408.36 is: 611.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.38 : 662.34 = 408.36 : x
  2. Step 2: Convert to fraction form
    442.38/662.34 = 408.36/x
  3. Step 3: Cross multiply
    442.38x = 662.34 × 408.36
  4. Step 4: Simplify right side
    442.38x = 270,473.16
  5. Step 5: Solve for x
    x = 270,473.16/442.38
  6. Step 6: Final answer
    x = 611.40

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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.