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Finding the Fourth Proportional to 406.75, 561.31 and 220.24

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Solution

The fourth proportional to 406.75, 561.31 and 220.24 is: 303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.75 : 561.31 = 220.24 : x
  2. Step 2: Convert to fraction form
    406.75/561.31 = 220.24/x
  3. Step 3: Cross multiply
    406.75x = 561.31 × 220.24
  4. Step 4: Simplify right side
    406.75x = 123,622.91
  5. Step 5: Solve for x
    x = 123,622.91/406.75
  6. Step 6: Final answer
    x = 303.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.