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Finding the Fourth Proportional to 324.56, 445.40 and 306.24

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Solution

The fourth proportional to 324.56, 445.40 and 306.24 is: 420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.56 : 445.40 = 306.24 : x
  2. Step 2: Convert to fraction form
    324.56/445.40 = 306.24/x
  3. Step 3: Cross multiply
    324.56x = 445.40 × 306.24
  4. Step 4: Simplify right side
    324.56x = 136,399.30
  5. Step 5: Solve for x
    x = 136,399.30/324.56
  6. Step 6: Final answer
    x = 420.26

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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.