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Finding the Fourth Proportional to 404.21, 606.41 and 221.56

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Solution

The fourth proportional to 404.21, 606.41 and 221.56 is: 332.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.21 : 606.41 = 221.56 : x
  2. Step 2: Convert to fraction form
    404.21/606.41 = 221.56/x
  3. Step 3: Cross multiply
    404.21x = 606.41 × 221.56
  4. Step 4: Simplify right side
    404.21x = 134,354.41
  5. Step 5: Solve for x
    x = 134,354.41/404.21
  6. Step 6: Final answer
    x = 332.39

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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.