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Finding the Fourth Proportional to 413.28, 570.09 and 255.81

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Solution

The fourth proportional to 413.28, 570.09 and 255.81 is: 352.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.28 : 570.09 = 255.81 : x
  2. Step 2: Convert to fraction form
    413.28/570.09 = 255.81/x
  3. Step 3: Cross multiply
    413.28x = 570.09 × 255.81
  4. Step 4: Simplify right side
    413.28x = 145,833.30
  5. Step 5: Solve for x
    x = 145,833.30/413.28
  6. Step 6: Final answer
    x = 352.87

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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.