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Finding the Fourth Proportional to 381.57, 573.02 and 228.45

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Solution

The fourth proportional to 381.57, 573.02 and 228.45 is: 343.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.57 : 573.02 = 228.45 : x
  2. Step 2: Convert to fraction form
    381.57/573.02 = 228.45/x
  3. Step 3: Cross multiply
    381.57x = 573.02 × 228.45
  4. Step 4: Simplify right side
    381.57x = 130,905.28
  5. Step 5: Solve for x
    x = 130,905.28/381.57
  6. Step 6: Final answer
    x = 343.07

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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.