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Finding the Fourth Proportional to 418.78, 578.19 and 321.04

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Solution

The fourth proportional to 418.78, 578.19 and 321.04 is: 443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.78 : 578.19 = 321.04 : x
  2. Step 2: Convert to fraction form
    418.78/578.19 = 321.04/x
  3. Step 3: Cross multiply
    418.78x = 578.19 × 321.04
  4. Step 4: Simplify right side
    418.78x = 185,622.12
  5. Step 5: Solve for x
    x = 185,622.12/418.78
  6. Step 6: Final answer
    x = 443.24

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