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Finding the Fourth Proportional to 300.30, 413.94 and 238.02

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Solution

The fourth proportional to 300.30, 413.94 and 238.02 is: 328.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.30 : 413.94 = 238.02 : x
  2. Step 2: Convert to fraction form
    300.30/413.94 = 238.02/x
  3. Step 3: Cross multiply
    300.30x = 413.94 × 238.02
  4. Step 4: Simplify right side
    300.30x = 98,526.00
  5. Step 5: Solve for x
    x = 98,526.00/300.30
  6. Step 6: Final answer
    x = 328.09

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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.