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Finding the Fourth Proportional to 413.93, 571.44 and 329.74

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Solution

The fourth proportional to 413.93, 571.44 and 329.74 is: 455.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.93 : 571.44 = 329.74 : x
  2. Step 2: Convert to fraction form
    413.93/571.44 = 329.74/x
  3. Step 3: Cross multiply
    413.93x = 571.44 × 329.74
  4. Step 4: Simplify right side
    413.93x = 188,426.63
  5. Step 5: Solve for x
    x = 188,426.63/413.93
  6. Step 6: Final answer
    x = 455.21

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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.