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Finding the Fourth Proportional to 408.12, 563.34 and 321.42

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Solution

The fourth proportional to 408.12, 563.34 and 321.42 is: 443.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.12 : 563.34 = 321.42 : x
  2. Step 2: Convert to fraction form
    408.12/563.34 = 321.42/x
  3. Step 3: Cross multiply
    408.12x = 563.34 × 321.42
  4. Step 4: Simplify right side
    408.12x = 181,068.74
  5. Step 5: Solve for x
    x = 181,068.74/408.12
  6. Step 6: Final answer
    x = 443.67

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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.