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Finding the Fourth Proportional to 943.07, 1,414.56 and 293.79

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Solution

The fourth proportional to 943.07, 1,414.56 and 293.79 is: 440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.07 : 1,414.56 = 293.79 : x
  2. Step 2: Convert to fraction form
    943.07/1,414.56 = 293.79/x
  3. Step 3: Cross multiply
    943.07x = 1,414.56 × 293.79
  4. Step 4: Simplify right side
    943.07x = 415,583.58
  5. Step 5: Solve for x
    x = 415,583.58/943.07
  6. Step 6: Final answer
    x = 440.67

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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.