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Finding the Fourth Proportional to 979.68, 1,469.64 and 321.33

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Solution

The fourth proportional to 979.68, 1,469.64 and 321.33 is: 482.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.68 : 1,469.64 = 321.33 : x
  2. Step 2: Convert to fraction form
    979.68/1,469.64 = 321.33/x
  3. Step 3: Cross multiply
    979.68x = 1,469.64 × 321.33
  4. Step 4: Simplify right side
    979.68x = 472,232.07
  5. Step 5: Solve for x
    x = 472,232.07/979.68
  6. Step 6: Final answer
    x = 482.03

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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.