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Finding the Fourth Proportional to 380.28, 571.49 and 371.07

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Solution

The fourth proportional to 380.28, 571.49 and 371.07 is: 557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.28 : 571.49 = 371.07 : x
  2. Step 2: Convert to fraction form
    380.28/571.49 = 371.07/x
  3. Step 3: Cross multiply
    380.28x = 571.49 × 371.07
  4. Step 4: Simplify right side
    380.28x = 212,060.94
  5. Step 5: Solve for x
    x = 212,060.94/380.28
  6. Step 6: Final answer
    x = 557.64

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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.