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Finding the Fourth Proportional to 376.98, 563.22 and 359.97

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Solution

The fourth proportional to 376.98, 563.22 and 359.97 is: 537.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.98 : 563.22 = 359.97 : x
  2. Step 2: Convert to fraction form
    376.98/563.22 = 359.97/x
  3. Step 3: Cross multiply
    376.98x = 563.22 × 359.97
  4. Step 4: Simplify right side
    376.98x = 202,742.30
  5. Step 5: Solve for x
    x = 202,742.30/376.98
  6. Step 6: Final answer
    x = 537.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.