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Finding the Fourth Proportional to 413.78, 571.11 and 258.50

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Solution

The fourth proportional to 413.78, 571.11 and 258.50 is: 356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.78 : 571.11 = 258.50 : x
  2. Step 2: Convert to fraction form
    413.78/571.11 = 258.50/x
  3. Step 3: Cross multiply
    413.78x = 571.11 × 258.50
  4. Step 4: Simplify right side
    413.78x = 147,631.94
  5. Step 5: Solve for x
    x = 147,631.94/413.78
  6. Step 6: Final answer
    x = 356.79

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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.