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Finding the Fourth Proportional to 662.10, 913.77 and 413.33

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Solution

The fourth proportional to 662.10, 913.77 and 413.33 is: 570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.10 : 913.77 = 413.33 : x
  2. Step 2: Convert to fraction form
    662.10/913.77 = 413.33/x
  3. Step 3: Cross multiply
    662.10x = 913.77 × 413.33
  4. Step 4: Simplify right side
    662.10x = 377,683.99
  5. Step 5: Solve for x
    x = 377,683.99/662.10
  6. Step 6: Final answer
    x = 570.43

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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.