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Finding the Fourth Proportional to 324.10, 446.66 and 225.68

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Solution

The fourth proportional to 324.10, 446.66 and 225.68 is: 311.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.10 : 446.66 = 225.68 : x
  2. Step 2: Convert to fraction form
    324.10/446.66 = 225.68/x
  3. Step 3: Cross multiply
    324.10x = 446.66 × 225.68
  4. Step 4: Simplify right side
    324.10x = 100,802.23
  5. Step 5: Solve for x
    x = 100,802.23/324.10
  6. Step 6: Final answer
    x = 311.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.