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Finding the Fourth Proportional to 413.92, 571.08 and 309.16

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Solution

The fourth proportional to 413.92, 571.08 and 309.16 is: 426.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.92 : 571.08 = 309.16 : x
  2. Step 2: Convert to fraction form
    413.92/571.08 = 309.16/x
  3. Step 3: Cross multiply
    413.92x = 571.08 × 309.16
  4. Step 4: Simplify right side
    413.92x = 176,555.09
  5. Step 5: Solve for x
    x = 176,555.09/413.92
  6. Step 6: Final answer
    x = 426.54

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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.