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Finding the Fourth Proportional to 943.49, 1,414.77 and 327.23

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Solution

The fourth proportional to 943.49, 1,414.77 and 327.23 is: 490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.49 : 1,414.77 = 327.23 : x
  2. Step 2: Convert to fraction form
    943.49/1,414.77 = 327.23/x
  3. Step 3: Cross multiply
    943.49x = 1,414.77 × 327.23
  4. Step 4: Simplify right side
    943.49x = 462,948.11
  5. Step 5: Solve for x
    x = 462,948.11/943.49
  6. Step 6: Final answer
    x = 490.68

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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.