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Finding the Fourth Proportional to 413.63, 570.74 and 238.94

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Solution

The fourth proportional to 413.63, 570.74 and 238.94 is: 329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.63 : 570.74 = 238.94 : x
  2. Step 2: Convert to fraction form
    413.63/570.74 = 238.94/x
  3. Step 3: Cross multiply
    413.63x = 570.74 × 238.94
  4. Step 4: Simplify right side
    413.63x = 136,372.62
  5. Step 5: Solve for x
    x = 136,372.62/413.63
  6. Step 6: Final answer
    x = 329.70

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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.