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Finding the Fourth Proportional to 979.38, 1,469.34 and 363.30

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Solution

The fourth proportional to 979.38, 1,469.34 and 363.30 is: 545.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.38 : 1,469.34 = 363.30 : x
  2. Step 2: Convert to fraction form
    979.38/1,469.34 = 363.30/x
  3. Step 3: Cross multiply
    979.38x = 1,469.34 × 363.30
  4. Step 4: Simplify right side
    979.38x = 533,811.22
  5. Step 5: Solve for x
    x = 533,811.22/979.38
  6. Step 6: Final answer
    x = 545.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.