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Finding the Fourth Proportional to 942.60, 1,413.54 and 365.52

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Solution

The fourth proportional to 942.60, 1,413.54 and 365.52 is: 548.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.60 : 1,413.54 = 365.52 : x
  2. Step 2: Convert to fraction form
    942.60/1,413.54 = 365.52/x
  3. Step 3: Cross multiply
    942.60x = 1,413.54 × 365.52
  4. Step 4: Simplify right side
    942.60x = 516,677.14
  5. Step 5: Solve for x
    x = 516,677.14/942.60
  6. Step 6: Final answer
    x = 548.14

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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.