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Finding the Fourth Proportional to 409.05, 563.99 and 350.73

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Solution

The fourth proportional to 409.05, 563.99 and 350.73 is: 483.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.05 : 563.99 = 350.73 : x
  2. Step 2: Convert to fraction form
    409.05/563.99 = 350.73/x
  3. Step 3: Cross multiply
    409.05x = 563.99 × 350.73
  4. Step 4: Simplify right side
    409.05x = 197,806.46
  5. Step 5: Solve for x
    x = 197,806.46/409.05
  6. Step 6: Final answer
    x = 483.58

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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.