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Finding the Fourth Proportional to 406.70, 609.30 and 223.52

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Solution

The fourth proportional to 406.70, 609.30 and 223.52 is: 334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.70 : 609.30 = 223.52 : x
  2. Step 2: Convert to fraction form
    406.70/609.30 = 223.52/x
  3. Step 3: Cross multiply
    406.70x = 609.30 × 223.52
  4. Step 4: Simplify right side
    406.70x = 136,190.74
  5. Step 5: Solve for x
    x = 136,190.74/406.70
  6. Step 6: Final answer
    x = 334.87

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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.