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Finding the Fourth Proportional to 299.64, 413.80 and 238.12

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Solution

The fourth proportional to 299.64, 413.80 and 238.12 is: 328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.64 : 413.80 = 238.12 : x
  2. Step 2: Convert to fraction form
    299.64/413.80 = 238.12/x
  3. Step 3: Cross multiply
    299.64x = 413.80 × 238.12
  4. Step 4: Simplify right side
    299.64x = 98,534.06
  5. Step 5: Solve for x
    x = 98,534.06/299.64
  6. Step 6: Final answer
    x = 328.84

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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.