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Finding the Fourth Proportional to 332.68, 459 and 227.56

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Solution

The fourth proportional to 332.68, 459 and 227.56 is: 313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.68 : 459 = 227.56 : x
  2. Step 2: Convert to fraction form
    332.68/459 = 227.56/x
  3. Step 3: Cross multiply
    332.68x = 459 × 227.56
  4. Step 4: Simplify right side
    332.68x = 104,450.04
  5. Step 5: Solve for x
    x = 104,450.04/332.68
  6. Step 6: Final answer
    x = 313.97

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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.