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Finding the Fourth Proportional to 942.94, 1,414.57 and 293.54

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Solution

The fourth proportional to 942.94, 1,414.57 and 293.54 is: 440.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.94 : 1,414.57 = 293.54 : x
  2. Step 2: Convert to fraction form
    942.94/1,414.57 = 293.54/x
  3. Step 3: Cross multiply
    942.94x = 1,414.57 × 293.54
  4. Step 4: Simplify right side
    942.94x = 415,235.68
  5. Step 5: Solve for x
    x = 415,235.68/942.94
  6. Step 6: Final answer
    x = 440.36

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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.