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Finding the Fourth Proportional to 620.46, 929.82 and 255.12

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Solution

The fourth proportional to 620.46, 929.82 and 255.12 is: 382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.46 : 929.82 = 255.12 : x
  2. Step 2: Convert to fraction form
    620.46/929.82 = 255.12/x
  3. Step 3: Cross multiply
    620.46x = 929.82 × 255.12
  4. Step 4: Simplify right side
    620.46x = 237,215.68
  5. Step 5: Solve for x
    x = 237,215.68/620.46
  6. Step 6: Final answer
    x = 382.32

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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.