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Finding the Fourth Proportional to 413.04, 569.97 and 226.52

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Solution

The fourth proportional to 413.04, 569.97 and 226.52 is: 312.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.04 : 569.97 = 226.52 : x
  2. Step 2: Convert to fraction form
    413.04/569.97 = 226.52/x
  3. Step 3: Cross multiply
    413.04x = 569.97 × 226.52
  4. Step 4: Simplify right side
    413.04x = 129,109.60
  5. Step 5: Solve for x
    x = 129,109.60/413.04
  6. Step 6: Final answer
    x = 312.58

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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.