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Finding the Fourth Proportional to 942.23, 1,412.97 and 364.97

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Solution

The fourth proportional to 942.23, 1,412.97 and 364.97 is: 547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.23 : 1,412.97 = 364.97 : x
  2. Step 2: Convert to fraction form
    942.23/1,412.97 = 364.97/x
  3. Step 3: Cross multiply
    942.23x = 1,412.97 × 364.97
  4. Step 4: Simplify right side
    942.23x = 515,684.60
  5. Step 5: Solve for x
    x = 515,684.60/942.23
  6. Step 6: Final answer
    x = 547.31

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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.