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Finding the Fourth Proportional to 980.26, 1,470.23 and 363.82

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Solution

The fourth proportional to 980.26, 1,470.23 and 363.82 is: 545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.26 : 1,470.23 = 363.82 : x
  2. Step 2: Convert to fraction form
    980.26/1,470.23 = 363.82/x
  3. Step 3: Cross multiply
    980.26x = 1,470.23 × 363.82
  4. Step 4: Simplify right side
    980.26x = 534,899.08
  5. Step 5: Solve for x
    x = 534,899.08/980.26
  6. Step 6: Final answer
    x = 545.67

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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.