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Finding the Fourth Proportional to 608.05, 912.33 and 413.28

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Solution

The fourth proportional to 608.05, 912.33 and 413.28 is: 620.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.05 : 912.33 = 413.28 : x
  2. Step 2: Convert to fraction form
    608.05/912.33 = 413.28/x
  3. Step 3: Cross multiply
    608.05x = 912.33 × 413.28
  4. Step 4: Simplify right side
    608.05x = 377,047.74
  5. Step 5: Solve for x
    x = 377,047.74/608.05
  6. Step 6: Final answer
    x = 620.09

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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.