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Finding the Fourth Proportional to 324.94, 448.56 and 227.08

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Solution

The fourth proportional to 324.94, 448.56 and 227.08 is: 313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.94 : 448.56 = 227.08 : x
  2. Step 2: Convert to fraction form
    324.94/448.56 = 227.08/x
  3. Step 3: Cross multiply
    324.94x = 448.56 × 227.08
  4. Step 4: Simplify right side
    324.94x = 101,859.00
  5. Step 5: Solve for x
    x = 101,859.00/324.94
  6. Step 6: Final answer
    x = 313.47

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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.