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Finding the Fourth Proportional to 326.89, 489.75 and 189.82

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Solution

The fourth proportional to 326.89, 489.75 and 189.82 is: 284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.89 : 489.75 = 189.82 : x
  2. Step 2: Convert to fraction form
    326.89/489.75 = 189.82/x
  3. Step 3: Cross multiply
    326.89x = 489.75 × 189.82
  4. Step 4: Simplify right side
    326.89x = 92,964.35
  5. Step 5: Solve for x
    x = 92,964.35/326.89
  6. Step 6: Final answer
    x = 284.39

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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.