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Finding the Fourth Proportional to 511.12, 704.96 and 324.42

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Solution

The fourth proportional to 511.12, 704.96 and 324.42 is: 447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.12 : 704.96 = 324.42 : x
  2. Step 2: Convert to fraction form
    511.12/704.96 = 324.42/x
  3. Step 3: Cross multiply
    511.12x = 704.96 × 324.42
  4. Step 4: Simplify right side
    511.12x = 228,703.12
  5. Step 5: Solve for x
    x = 228,703.12/511.12
  6. Step 6: Final answer
    x = 447.45

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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.