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Finding the Fourth Proportional to 737.42, 1,105.41 and 326.66

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Solution

The fourth proportional to 737.42, 1,105.41 and 326.66 is: 489.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.42 : 1,105.41 = 326.66 : x
  2. Step 2: Convert to fraction form
    737.42/1,105.41 = 326.66/x
  3. Step 3: Cross multiply
    737.42x = 1,105.41 × 326.66
  4. Step 4: Simplify right side
    737.42x = 361,093.23
  5. Step 5: Solve for x
    x = 361,093.23/737.42
  6. Step 6: Final answer
    x = 489.67

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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.