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Finding the Fourth Proportional to 413.65, 570.84 and 227.13

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Solution

The fourth proportional to 413.65, 570.84 and 227.13 is: 313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.65 : 570.84 = 227.13 : x
  2. Step 2: Convert to fraction form
    413.65/570.84 = 227.13/x
  3. Step 3: Cross multiply
    413.65x = 570.84 × 227.13
  4. Step 4: Simplify right side
    413.65x = 129,654.89
  5. Step 5: Solve for x
    x = 129,654.89/413.65
  6. Step 6: Final answer
    x = 313.44

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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.