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Finding the Fourth Proportional to 326.44, 489.96 and 189.46

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Solution

The fourth proportional to 326.44, 489.96 and 189.46 is: 284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.44 : 489.96 = 189.46 : x
  2. Step 2: Convert to fraction form
    326.44/489.96 = 189.46/x
  3. Step 3: Cross multiply
    326.44x = 489.96 × 189.46
  4. Step 4: Simplify right side
    326.44x = 92,827.82
  5. Step 5: Solve for x
    x = 92,827.82/326.44
  6. Step 6: Final answer
    x = 284.36

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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.