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Finding the Fourth Proportional to 381.84, 573.55 and 252.03

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Solution

The fourth proportional to 381.84, 573.55 and 252.03 is: 378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.84 : 573.55 = 252.03 : x
  2. Step 2: Convert to fraction form
    381.84/573.55 = 252.03/x
  3. Step 3: Cross multiply
    381.84x = 573.55 × 252.03
  4. Step 4: Simplify right side
    381.84x = 144,551.81
  5. Step 5: Solve for x
    x = 144,551.81/381.84
  6. Step 6: Final answer
    x = 378.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.