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Finding the Fourth Proportional to 413.27, 618.28 and 275.66

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Solution

The fourth proportional to 413.27, 618.28 and 275.66 is: 412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.27 : 618.28 = 275.66 : x
  2. Step 2: Convert to fraction form
    413.27/618.28 = 275.66/x
  3. Step 3: Cross multiply
    413.27x = 618.28 × 275.66
  4. Step 4: Simplify right side
    413.27x = 170,430.60
  5. Step 5: Solve for x
    x = 170,430.60/413.27
  6. Step 6: Final answer
    x = 412.40

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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.