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Finding the Fourth Proportional to 415.43, 620.48 and 377.16

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Solution

The fourth proportional to 415.43, 620.48 and 377.16 is: 563.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.43 : 620.48 = 377.16 : x
  2. Step 2: Convert to fraction form
    415.43/620.48 = 377.16/x
  3. Step 3: Cross multiply
    415.43x = 620.48 × 377.16
  4. Step 4: Simplify right side
    415.43x = 234,016.73
  5. Step 5: Solve for x
    x = 234,016.73/415.43
  6. Step 6: Final answer
    x = 563.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.