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Finding the Fourth Proportional to 376.39, 563.68 and 321.22

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Solution

The fourth proportional to 376.39, 563.68 and 321.22 is: 481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.39 : 563.68 = 321.22 : x
  2. Step 2: Convert to fraction form
    376.39/563.68 = 321.22/x
  3. Step 3: Cross multiply
    376.39x = 563.68 × 321.22
  4. Step 4: Simplify right side
    376.39x = 181,066.17
  5. Step 5: Solve for x
    x = 181,066.17/376.39
  6. Step 6: Final answer
    x = 481.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.