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Finding the Fourth Proportional to 381.84, 575.00 and 274.38

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Solution

The fourth proportional to 381.84, 575.00 and 274.38 is: 413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.84 : 575.00 = 274.38 : x
  2. Step 2: Convert to fraction form
    381.84/575.00 = 274.38/x
  3. Step 3: Cross multiply
    381.84x = 575.00 × 274.38
  4. Step 4: Simplify right side
    381.84x = 157,769.19
  5. Step 5: Solve for x
    x = 157,769.19/381.84
  6. Step 6: Final answer
    x = 413.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.