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Finding the Fourth Proportional to 489.16, 674.78 and 300.00

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Solution

The fourth proportional to 489.16, 674.78 and 300.00 is: 413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.16 : 674.78 = 300.00 : x
  2. Step 2: Convert to fraction form
    489.16/674.78 = 300.00/x
  3. Step 3: Cross multiply
    489.16x = 674.78 × 300.00
  4. Step 4: Simplify right side
    489.16x = 202,436.72
  5. Step 5: Solve for x
    x = 202,436.72/489.16
  6. Step 6: Final answer
    x = 413.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.