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Finding the Fourth Proportional to 409.25, 563.67 and 321.77

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Solution

The fourth proportional to 409.25, 563.67 and 321.77 is: 443.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.25 : 563.67 = 321.77 : x
  2. Step 2: Convert to fraction form
    409.25/563.67 = 321.77/x
  3. Step 3: Cross multiply
    409.25x = 563.67 × 321.77
  4. Step 4: Simplify right side
    409.25x = 181,369.28
  5. Step 5: Solve for x
    x = 181,369.28/409.25
  6. Step 6: Final answer
    x = 443.18

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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.