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Finding the Fourth Proportional to 413.25, 618.72 and 282.97

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Solution

The fourth proportional to 413.25, 618.72 and 282.97 is: 423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.25 : 618.72 = 282.97 : x
  2. Step 2: Convert to fraction form
    413.25/618.72 = 282.97/x
  3. Step 3: Cross multiply
    413.25x = 618.72 × 282.97
  4. Step 4: Simplify right side
    413.25x = 175,079.20
  5. Step 5: Solve for x
    x = 175,079.20/413.25
  6. Step 6: Final answer
    x = 423.66

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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.