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Finding the Fourth Proportional to 576.25, 795.26 and 324.21

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Solution

The fourth proportional to 576.25, 795.26 and 324.21 is: 447.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.25 : 795.26 = 324.21 : x
  2. Step 2: Convert to fraction form
    576.25/795.26 = 324.21/x
  3. Step 3: Cross multiply
    576.25x = 795.26 × 324.21
  4. Step 4: Simplify right side
    576.25x = 257,831.24
  5. Step 5: Solve for x
    x = 257,831.24/576.25
  6. Step 6: Final answer
    x = 447.43

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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.