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Finding the Fourth Proportional to 275.63, 413.28 and 243.20

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Solution

The fourth proportional to 275.63, 413.28 and 243.20 is: 364.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.63 : 413.28 = 243.20 : x
  2. Step 2: Convert to fraction form
    275.63/413.28 = 243.20/x
  3. Step 3: Cross multiply
    275.63x = 413.28 × 243.20
  4. Step 4: Simplify right side
    275.63x = 100,510.87
  5. Step 5: Solve for x
    x = 100,510.87/275.63
  6. Step 6: Final answer
    x = 364.67

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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.