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Finding the Fourth Proportional to 465.38, 642 and 299.54

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Solution

The fourth proportional to 465.38, 642 and 299.54 is: 413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.38 : 642 = 299.54 : x
  2. Step 2: Convert to fraction form
    465.38/642 = 299.54/x
  3. Step 3: Cross multiply
    465.38x = 642 × 299.54
  4. Step 4: Simplify right side
    465.38x = 192,304.68
  5. Step 5: Solve for x
    x = 192,304.68/465.38
  6. Step 6: Final answer
    x = 413.22

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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.