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Finding the Fourth Proportional to 474.45, 711.37 and 254.94

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Solution

The fourth proportional to 474.45, 711.37 and 254.94 is: 382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.45 : 711.37 = 254.94 : x
  2. Step 2: Convert to fraction form
    474.45/711.37 = 254.94/x
  3. Step 3: Cross multiply
    474.45x = 711.37 × 254.94
  4. Step 4: Simplify right side
    474.45x = 181,356.03
  5. Step 5: Solve for x
    x = 181,356.03/474.45
  6. Step 6: Final answer
    x = 382.24

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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.