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Finding the Fourth Proportional to 329, 490.78 and 304.64

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Solution

The fourth proportional to 329, 490.78 and 304.64 is: 454.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    329 : 490.78 = 304.64 : x
  2. Step 2: Convert to fraction form
    329/490.78 = 304.64/x
  3. Step 3: Cross multiply
    329x = 490.78 × 304.64
  4. Step 4: Simplify right side
    329x = 149,511.22
  5. Step 5: Solve for x
    x = 149,511.22/329
  6. Step 6: Final answer
    x = 454.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.