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Finding the Fourth Proportional to 663.44, 993.72 and 446.36

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Solution

The fourth proportional to 663.44, 993.72 and 446.36 is: 668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.44 : 993.72 = 446.36 : x
  2. Step 2: Convert to fraction form
    663.44/993.72 = 446.36/x
  3. Step 3: Cross multiply
    663.44x = 993.72 × 446.36
  4. Step 4: Simplify right side
    663.44x = 443,556.86
  5. Step 5: Solve for x
    x = 443,556.86/663.44
  6. Step 6: Final answer
    x = 668.57

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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.