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Finding the Fourth Proportional to 304.50, 420.06 and 217.22

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Solution

The fourth proportional to 304.50, 420.06 and 217.22 is: 299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.50 : 420.06 = 217.22 : x
  2. Step 2: Convert to fraction form
    304.50/420.06 = 217.22/x
  3. Step 3: Cross multiply
    304.50x = 420.06 × 217.22
  4. Step 4: Simplify right side
    304.50x = 91,245.43
  5. Step 5: Solve for x
    x = 91,245.43/304.50
  6. Step 6: Final answer
    x = 299.66

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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.