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Finding the Fourth Proportional to 413.14, 570.20 and 238.45

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Solution

The fourth proportional to 413.14, 570.20 and 238.45 is: 329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.14 : 570.20 = 238.45 : x
  2. Step 2: Convert to fraction form
    413.14/570.20 = 238.45/x
  3. Step 3: Cross multiply
    413.14x = 570.20 × 238.45
  4. Step 4: Simplify right side
    413.14x = 135,964.19
  5. Step 5: Solve for x
    x = 135,964.19/413.14
  6. Step 6: Final answer
    x = 329.10

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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.