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Finding the Fourth Proportional to 474.24, 711.39 and 227.37

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Solution

The fourth proportional to 474.24, 711.39 and 227.37 is: 341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.24 : 711.39 = 227.37 : x
  2. Step 2: Convert to fraction form
    474.24/711.39 = 227.37/x
  3. Step 3: Cross multiply
    474.24x = 711.39 × 227.37
  4. Step 4: Simplify right side
    474.24x = 161,748.74
  5. Step 5: Solve for x
    x = 161,748.74/474.24
  6. Step 6: Final answer
    x = 341.07

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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.