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Finding the Fourth Proportional to 413.54, 570.73 and 258.26

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Solution

The fourth proportional to 413.54, 570.73 and 258.26 is: 356.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.54 : 570.73 = 258.26 : x
  2. Step 2: Convert to fraction form
    413.54/570.73 = 258.26/x
  3. Step 3: Cross multiply
    413.54x = 570.73 × 258.26
  4. Step 4: Simplify right side
    413.54x = 147,396.73
  5. Step 5: Solve for x
    x = 147,396.73/413.54
  6. Step 6: Final answer
    x = 356.43

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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.