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Finding the Fourth Proportional to 324.68, 444.96 and 324.14

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Solution

The fourth proportional to 324.68, 444.96 and 324.14 is: 444.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.68 : 444.96 = 324.14 : x
  2. Step 2: Convert to fraction form
    324.68/444.96 = 324.14/x
  3. Step 3: Cross multiply
    324.68x = 444.96 × 324.14
  4. Step 4: Simplify right side
    324.68x = 144,227.11
  5. Step 5: Solve for x
    x = 144,227.11/324.68
  6. Step 6: Final answer
    x = 444.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.