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Finding the Fourth Proportional to 980.05, 1,470.73 and 363.76

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Solution

The fourth proportional to 980.05, 1,470.73 and 363.76 is: 545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.05 : 1,470.73 = 363.76 : x
  2. Step 2: Convert to fraction form
    980.05/1,470.73 = 363.76/x
  3. Step 3: Cross multiply
    980.05x = 1,470.73 × 363.76
  4. Step 4: Simplify right side
    980.05x = 534,983.57
  5. Step 5: Solve for x
    x = 534,983.57/980.05
  6. Step 6: Final answer
    x = 545.88

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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.