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Finding the Fourth Proportional to 943.75, 1,415.73 and 327.22

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Solution

The fourth proportional to 943.75, 1,415.73 and 327.22 is: 490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.75 : 1,415.73 = 327.22 : x
  2. Step 2: Convert to fraction form
    943.75/1,415.73 = 327.22/x
  3. Step 3: Cross multiply
    943.75x = 1,415.73 × 327.22
  4. Step 4: Simplify right side
    943.75x = 463,255.17
  5. Step 5: Solve for x
    x = 463,255.17/943.75
  6. Step 6: Final answer
    x = 490.87

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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.