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Finding the Fourth Proportional to 324.51, 447.32 and 265.41

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Solution

The fourth proportional to 324.51, 447.32 and 265.41 is: 365.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.51 : 447.32 = 265.41 : x
  2. Step 2: Convert to fraction form
    324.51/447.32 = 265.41/x
  3. Step 3: Cross multiply
    324.51x = 447.32 × 265.41
  4. Step 4: Simplify right side
    324.51x = 118,723.86
  5. Step 5: Solve for x
    x = 118,723.86/324.51
  6. Step 6: Final answer
    x = 365.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.