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Finding the Fourth Proportional to 942.37, 1,412.78 and 394.96

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Solution

The fourth proportional to 942.37, 1,412.78 and 394.96 is: 592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.37 : 1,412.78 = 394.96 : x
  2. Step 2: Convert to fraction form
    942.37/1,412.78 = 394.96/x
  3. Step 3: Cross multiply
    942.37x = 1,412.78 × 394.96
  4. Step 4: Simplify right side
    942.37x = 557,991.59
  5. Step 5: Solve for x
    x = 557,991.59/942.37
  6. Step 6: Final answer
    x = 592.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.