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Finding the Fourth Proportional to 442.26, 609.73 and 284.60

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Solution

The fourth proportional to 442.26, 609.73 and 284.60 is: 392.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.26 : 609.73 = 284.60 : x
  2. Step 2: Convert to fraction form
    442.26/609.73 = 284.60/x
  3. Step 3: Cross multiply
    442.26x = 609.73 × 284.60
  4. Step 4: Simplify right side
    442.26x = 173,529.97
  5. Step 5: Solve for x
    x = 173,529.97/442.26
  6. Step 6: Final answer
    x = 392.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.