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Finding the Fourth Proportional to 324.37, 446.34 and 293.32

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Solution

The fourth proportional to 324.37, 446.34 and 293.32 is: 403.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.37 : 446.34 = 293.32 : x
  2. Step 2: Convert to fraction form
    324.37/446.34 = 293.32/x
  3. Step 3: Cross multiply
    324.37x = 446.34 × 293.32
  4. Step 4: Simplify right side
    324.37x = 130,920.45
  5. Step 5: Solve for x
    x = 130,920.45/324.37
  6. Step 6: Final answer
    x = 403.61

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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.