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Finding the Fourth Proportional to 578.36, 798.22 and 329.78

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Solution

The fourth proportional to 578.36, 798.22 and 329.78 is: 455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.36 : 798.22 = 329.78 : x
  2. Step 2: Convert to fraction form
    578.36/798.22 = 329.78/x
  3. Step 3: Cross multiply
    578.36x = 798.22 × 329.78
  4. Step 4: Simplify right side
    578.36x = 263,236.99
  5. Step 5: Solve for x
    x = 263,236.99/578.36
  6. Step 6: Final answer
    x = 455.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.