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Finding the Fourth Proportional to 980.95, 1,471.67 and 331.67

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Solution

The fourth proportional to 980.95, 1,471.67 and 331.67 is: 497.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.95 : 1,471.67 = 331.67 : x
  2. Step 2: Convert to fraction form
    980.95/1,471.67 = 331.67/x
  3. Step 3: Cross multiply
    980.95x = 1,471.67 × 331.67
  4. Step 4: Simplify right side
    980.95x = 488,108.79
  5. Step 5: Solve for x
    x = 488,108.79/980.95
  6. Step 6: Final answer
    x = 497.59

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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.