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Finding the Fourth Proportional to 406.85, 609.77 and 221.75

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Solution

The fourth proportional to 406.85, 609.77 and 221.75 is: 332.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.85 : 609.77 = 221.75 : x
  2. Step 2: Convert to fraction form
    406.85/609.77 = 221.75/x
  3. Step 3: Cross multiply
    406.85x = 609.77 × 221.75
  4. Step 4: Simplify right side
    406.85x = 135,216.91
  5. Step 5: Solve for x
    x = 135,216.91/406.85
  6. Step 6: Final answer
    x = 332.35

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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.