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Finding the Fourth Proportional to 413.36, 570.30 and 238.76

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Solution

The fourth proportional to 413.36, 570.30 and 238.76 is: 329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.36 : 570.30 = 238.76 : x
  2. Step 2: Convert to fraction form
    413.36/570.30 = 238.76/x
  3. Step 3: Cross multiply
    413.36x = 570.30 × 238.76
  4. Step 4: Simplify right side
    413.36x = 136,164.83
  5. Step 5: Solve for x
    x = 136,164.83/413.36
  6. Step 6: Final answer
    x = 329.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.