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Finding the Fourth Proportional to 324.12, 447.06 and 313.41

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Solution

The fourth proportional to 324.12, 447.06 and 313.41 is: 432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.12 : 447.06 = 313.41 : x
  2. Step 2: Convert to fraction form
    324.12/447.06 = 313.41/x
  3. Step 3: Cross multiply
    324.12x = 447.06 × 313.41
  4. Step 4: Simplify right side
    324.12x = 140,113.07
  5. Step 5: Solve for x
    x = 140,113.07/324.12
  6. Step 6: Final answer
    x = 432.29

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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.