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Finding the Fourth Proportional to 303.84, 419.04 and 205.44

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Solution

The fourth proportional to 303.84, 419.04 and 205.44 is: 283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.84 : 419.04 = 205.44 : x
  2. Step 2: Convert to fraction form
    303.84/419.04 = 205.44/x
  3. Step 3: Cross multiply
    303.84x = 419.04 × 205.44
  4. Step 4: Simplify right side
    303.84x = 86,087.58
  5. Step 5: Solve for x
    x = 86,087.58/303.84
  6. Step 6: Final answer
    x = 283.33

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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.