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Finding the Fourth Proportional to 476.28, 657.75 and 394.27

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Solution

The fourth proportional to 476.28, 657.75 and 394.27 is: 544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.28 : 657.75 = 394.27 : x
  2. Step 2: Convert to fraction form
    476.28/657.75 = 394.27/x
  3. Step 3: Cross multiply
    476.28x = 657.75 × 394.27
  4. Step 4: Simplify right side
    476.28x = 259,327.60
  5. Step 5: Solve for x
    x = 259,327.60/476.28
  6. Step 6: Final answer
    x = 544.49

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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.