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Finding the Fourth Proportional to 413.25, 570.29 and 229.25

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Solution

The fourth proportional to 413.25, 570.29 and 229.25 is: 316.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.25 : 570.29 = 229.25 : x
  2. Step 2: Convert to fraction form
    413.25/570.29 = 229.25/x
  3. Step 3: Cross multiply
    413.25x = 570.29 × 229.25
  4. Step 4: Simplify right side
    413.25x = 130,737.84
  5. Step 5: Solve for x
    x = 130,737.84/413.25
  6. Step 6: Final answer
    x = 316.37

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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.