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Finding the Fourth Proportional to 442.26, 609.39 and 325.62

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Solution

The fourth proportional to 442.26, 609.39 and 325.62 is: 448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.26 : 609.39 = 325.62 : x
  2. Step 2: Convert to fraction form
    442.26/609.39 = 325.62/x
  3. Step 3: Cross multiply
    442.26x = 609.39 × 325.62
  4. Step 4: Simplify right side
    442.26x = 198,429.57
  5. Step 5: Solve for x
    x = 198,429.57/442.26
  6. Step 6: Final answer
    x = 448.67

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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.