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Finding the Fourth Proportional to 413.14, 569.96 and 255.66

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Solution

The fourth proportional to 413.14, 569.96 and 255.66 is: 352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.14 : 569.96 = 255.66 : x
  2. Step 2: Convert to fraction form
    413.14/569.96 = 255.66/x
  3. Step 3: Cross multiply
    413.14x = 569.96 × 255.66
  4. Step 4: Simplify right side
    413.14x = 145,715.97
  5. Step 5: Solve for x
    x = 145,715.97/413.14
  6. Step 6: Final answer
    x = 352.70

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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.