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Finding the Fourth Proportional to 942.23, 1,413.45 and 325.92

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Solution

The fourth proportional to 942.23, 1,413.45 and 325.92 is: 488.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.23 : 1,413.45 = 325.92 : x
  2. Step 2: Convert to fraction form
    942.23/1,413.45 = 325.92/x
  3. Step 3: Cross multiply
    942.23x = 1,413.45 × 325.92
  4. Step 4: Simplify right side
    942.23x = 460,676.92
  5. Step 5: Solve for x
    x = 460,676.92/942.23
  6. Step 6: Final answer
    x = 488.92

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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.