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Finding the Fourth Proportional to 413.57, 570.75 and 227.08

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Solution

The fourth proportional to 413.57, 570.75 and 227.08 is: 313.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.57 : 570.75 = 227.08 : x
  2. Step 2: Convert to fraction form
    413.57/570.75 = 227.08/x
  3. Step 3: Cross multiply
    413.57x = 570.75 × 227.08
  4. Step 4: Simplify right side
    413.57x = 129,604.48
  5. Step 5: Solve for x
    x = 129,604.48/413.57
  6. Step 6: Final answer
    x = 313.38

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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.