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Finding the Fourth Proportional to 512.05, 705.57 and 371.92

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Solution

The fourth proportional to 512.05, 705.57 and 371.92 is: 512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.05 : 705.57 = 371.92 : x
  2. Step 2: Convert to fraction form
    512.05/705.57 = 371.92/x
  3. Step 3: Cross multiply
    512.05x = 705.57 × 371.92
  4. Step 4: Simplify right side
    512.05x = 262,415.59
  5. Step 5: Solve for x
    x = 262,415.59/512.05
  6. Step 6: Final answer
    x = 512.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.