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Finding the Fourth Proportional to 304.22, 419.91 and 205.96

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Solution

The fourth proportional to 304.22, 419.91 and 205.96 is: 284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.22 : 419.91 = 205.96 : x
  2. Step 2: Convert to fraction form
    304.22/419.91 = 205.96/x
  3. Step 3: Cross multiply
    304.22x = 419.91 × 205.96
  4. Step 4: Simplify right side
    304.22x = 86,484.66
  5. Step 5: Solve for x
    x = 86,484.66/304.22
  6. Step 6: Final answer
    x = 284.28

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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.