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Finding the Fourth Proportional to 288.94, 398.84 and 223.33

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Solution

The fourth proportional to 288.94, 398.84 and 223.33 is: 308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.94 : 398.84 = 223.33 : x
  2. Step 2: Convert to fraction form
    288.94/398.84 = 223.33/x
  3. Step 3: Cross multiply
    288.94x = 398.84 × 223.33
  4. Step 4: Simplify right side
    288.94x = 89,072.94
  5. Step 5: Solve for x
    x = 89,072.94/288.94
  6. Step 6: Final answer
    x = 308.27

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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.