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Finding the Fourth Proportional to 442.37, 609.89 and 324.38

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Solution

The fourth proportional to 442.37, 609.89 and 324.38 is: 447.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.37 : 609.89 = 324.38 : x
  2. Step 2: Convert to fraction form
    442.37/609.89 = 324.38/x
  3. Step 3: Cross multiply
    442.37x = 609.89 × 324.38
  4. Step 4: Simplify right side
    442.37x = 197,836.12
  5. Step 5: Solve for x
    x = 197,836.12/442.37
  6. Step 6: Final answer
    x = 447.22

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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.