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Finding the Fourth Proportional to 576.24, 795.15 and 324.15

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Solution

The fourth proportional to 576.24, 795.15 and 324.15 is: 447.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.24 : 795.15 = 324.15 : x
  2. Step 2: Convert to fraction form
    576.24/795.15 = 324.15/x
  3. Step 3: Cross multiply
    576.24x = 795.15 × 324.15
  4. Step 4: Simplify right side
    576.24x = 257,747.87
  5. Step 5: Solve for x
    x = 257,747.87/576.24
  6. Step 6: Final answer
    x = 447.29

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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.