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Finding the Fourth Proportional to 313.77, 433.03 and 203.27

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Solution

The fourth proportional to 313.77, 433.03 and 203.27 is: 280.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.77 : 433.03 = 203.27 : x
  2. Step 2: Convert to fraction form
    313.77/433.03 = 203.27/x
  3. Step 3: Cross multiply
    313.77x = 433.03 × 203.27
  4. Step 4: Simplify right side
    313.77x = 88,022.01
  5. Step 5: Solve for x
    x = 88,022.01/313.77
  6. Step 6: Final answer
    x = 280.53

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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.