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Finding the Fourth Proportional to 413.12, 569.88 and 255.78

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Solution

The fourth proportional to 413.12, 569.88 and 255.78 is: 352.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.12 : 569.88 = 255.78 : x
  2. Step 2: Convert to fraction form
    413.12/569.88 = 255.78/x
  3. Step 3: Cross multiply
    413.12x = 569.88 × 255.78
  4. Step 4: Simplify right side
    413.12x = 145,763.91
  5. Step 5: Solve for x
    x = 145,763.91/413.12
  6. Step 6: Final answer
    x = 352.83

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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.