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Finding the Fourth Proportional to 326.69, 489.11 and 228.96

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Solution

The fourth proportional to 326.69, 489.11 and 228.96 is: 342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.69 : 489.11 = 228.96 : x
  2. Step 2: Convert to fraction form
    326.69/489.11 = 228.96/x
  3. Step 3: Cross multiply
    326.69x = 489.11 × 228.96
  4. Step 4: Simplify right side
    326.69x = 111,985.48
  5. Step 5: Solve for x
    x = 111,985.48/326.69
  6. Step 6: Final answer
    x = 342.79

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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.