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Finding the Fourth Proportional to 408.24, 611.80 and 223.02

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Solution

The fourth proportional to 408.24, 611.80 and 223.02 is: 334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.24 : 611.80 = 223.02 : x
  2. Step 2: Convert to fraction form
    408.24/611.80 = 223.02/x
  3. Step 3: Cross multiply
    408.24x = 611.80 × 223.02
  4. Step 4: Simplify right side
    408.24x = 136,443.64
  5. Step 5: Solve for x
    x = 136,443.64/408.24
  6. Step 6: Final answer
    x = 334.22

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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.