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Finding the Fourth Proportional to 413.51, 570.65 and 227.00

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Solution

The fourth proportional to 413.51, 570.65 and 227.00 is: 313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.51 : 570.65 = 227.00 : x
  2. Step 2: Convert to fraction form
    413.51/570.65 = 227.00/x
  3. Step 3: Cross multiply
    413.51x = 570.65 × 227.00
  4. Step 4: Simplify right side
    413.51x = 129,540.19
  5. Step 5: Solve for x
    x = 129,540.19/413.51
  6. Step 6: Final answer
    x = 313.27

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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.