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Finding the Fourth Proportional to 942.44, 1,414.27 and 365.31

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Solution

The fourth proportional to 942.44, 1,414.27 and 365.31 is: 548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.44 : 1,414.27 = 365.31 : x
  2. Step 2: Convert to fraction form
    942.44/1,414.27 = 365.31/x
  3. Step 3: Cross multiply
    942.44x = 1,414.27 × 365.31
  4. Step 4: Simplify right side
    942.44x = 516,648.68
  5. Step 5: Solve for x
    x = 516,648.68/942.44
  6. Step 6: Final answer
    x = 548.20

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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.