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Finding the Fourth Proportional to 465.94, 642.79 and 300.09

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Solution

The fourth proportional to 465.94, 642.79 and 300.09 is: 413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.94 : 642.79 = 300.09 : x
  2. Step 2: Convert to fraction form
    465.94/642.79 = 300.09/x
  3. Step 3: Cross multiply
    465.94x = 642.79 × 300.09
  4. Step 4: Simplify right side
    465.94x = 192,894.85
  5. Step 5: Solve for x
    x = 192,894.85/465.94
  6. Step 6: Final answer
    x = 413.99

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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.