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Finding the Fourth Proportional to 943.09, 1,414.77 and 293.89

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Solution

The fourth proportional to 943.09, 1,414.77 and 293.89 is: 440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.09 : 1,414.77 = 293.89 : x
  2. Step 2: Convert to fraction form
    943.09/1,414.77 = 293.89/x
  3. Step 3: Cross multiply
    943.09x = 1,414.77 × 293.89
  4. Step 4: Simplify right side
    943.09x = 415,786.76
  5. Step 5: Solve for x
    x = 415,786.76/943.09
  6. Step 6: Final answer
    x = 440.88

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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.