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Finding the Fourth Proportional to 943.50, 1,415.27 and 327.23

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Solution

The fourth proportional to 943.50, 1,415.27 and 327.23 is: 490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.50 : 1,415.27 = 327.23 : x
  2. Step 2: Convert to fraction form
    943.50/1,415.27 = 327.23/x
  3. Step 3: Cross multiply
    943.50x = 1,415.27 × 327.23
  4. Step 4: Simplify right side
    943.50x = 463,110.09
  5. Step 5: Solve for x
    x = 463,110.09/943.50
  6. Step 6: Final answer
    x = 490.84

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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.