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Finding the Fourth Proportional to 942.54, 1,413.20 and 365.28

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Solution

The fourth proportional to 942.54, 1,413.20 and 365.28 is: 547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.54 : 1,413.20 = 365.28 : x
  2. Step 2: Convert to fraction form
    942.54/1,413.20 = 365.28/x
  3. Step 3: Cross multiply
    942.54x = 1,413.20 × 365.28
  4. Step 4: Simplify right side
    942.54x = 516,213.70
  5. Step 5: Solve for x
    x = 516,213.70/942.54
  6. Step 6: Final answer
    x = 547.68

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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.