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Finding the Fourth Proportional to 597.33, 894.27 and 443.97

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Solution

The fourth proportional to 597.33, 894.27 and 443.97 is: 664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.33 : 894.27 = 443.97 : x
  2. Step 2: Convert to fraction form
    597.33/894.27 = 443.97/x
  3. Step 3: Cross multiply
    597.33x = 894.27 × 443.97
  4. Step 4: Simplify right side
    597.33x = 397,029.05
  5. Step 5: Solve for x
    x = 397,029.05/597.33
  6. Step 6: Final answer
    x = 664.67

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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.