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Finding the Fourth Proportional to 479.94, 661.96 and 413.67

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Solution

The fourth proportional to 479.94, 661.96 and 413.67 is: 570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.94 : 661.96 = 413.67 : x
  2. Step 2: Convert to fraction form
    479.94/661.96 = 413.67/x
  3. Step 3: Cross multiply
    479.94x = 661.96 × 413.67
  4. Step 4: Simplify right side
    479.94x = 273,832.99
  5. Step 5: Solve for x
    x = 273,832.99/479.94
  6. Step 6: Final answer
    x = 570.56

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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.