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Finding the Fourth Proportional to 304.41, 419.91 and 204.78

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Solution

The fourth proportional to 304.41, 419.91 and 204.78 is: 282.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.41 : 419.91 = 204.78 : x
  2. Step 2: Convert to fraction form
    304.41/419.91 = 204.78/x
  3. Step 3: Cross multiply
    304.41x = 419.91 × 204.78
  4. Step 4: Simplify right side
    304.41x = 85,989.17
  5. Step 5: Solve for x
    x = 85,989.17/304.41
  6. Step 6: Final answer
    x = 282.48

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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.