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Finding the Fourth Proportional to 324.10, 485.43 and 226.40

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Solution

The fourth proportional to 324.10, 485.43 and 226.40 is: 339.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.10 : 485.43 = 226.40 : x
  2. Step 2: Convert to fraction form
    324.10/485.43 = 226.40/x
  3. Step 3: Cross multiply
    324.10x = 485.43 × 226.40
  4. Step 4: Simplify right side
    324.10x = 109,898.08
  5. Step 5: Solve for x
    x = 109,898.08/324.10
  6. Step 6: Final answer
    x = 339.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.