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Finding the Fourth Proportional to 413.78, 571.24 and 309.44

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Solution

The fourth proportional to 413.78, 571.24 and 309.44 is: 427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.78 : 571.24 = 309.44 : x
  2. Step 2: Convert to fraction form
    413.78/571.24 = 309.44/x
  3. Step 3: Cross multiply
    413.78x = 571.24 × 309.44
  4. Step 4: Simplify right side
    413.78x = 176,764.51
  5. Step 5: Solve for x
    x = 176,764.51/413.78
  6. Step 6: Final answer
    x = 427.19

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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.