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Finding the Fourth Proportional to 620.24, 855.84 and 371.52

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Solution

The fourth proportional to 620.24, 855.84 and 371.52 is: 512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.24 : 855.84 = 371.52 : x
  2. Step 2: Convert to fraction form
    620.24/855.84 = 371.52/x
  3. Step 3: Cross multiply
    620.24x = 855.84 × 371.52
  4. Step 4: Simplify right side
    620.24x = 317,961.68
  5. Step 5: Solve for x
    x = 317,961.68/620.24
  6. Step 6: Final answer
    x = 512.64

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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.