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Finding the Fourth Proportional to 324.40, 446.56 and 282.72

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Solution

The fourth proportional to 324.40, 446.56 and 282.72 is: 389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.40 : 446.56 = 282.72 : x
  2. Step 2: Convert to fraction form
    324.40/446.56 = 282.72/x
  3. Step 3: Cross multiply
    324.40x = 446.56 × 282.72
  4. Step 4: Simplify right side
    324.40x = 126,251.44
  5. Step 5: Solve for x
    x = 126,251.44/324.40
  6. Step 6: Final answer
    x = 389.18

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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.