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Finding the Fourth Proportional to 511.15, 704.61 and 324.60

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Solution

The fourth proportional to 511.15, 704.61 and 324.60 is: 447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.15 : 704.61 = 324.60 : x
  2. Step 2: Convert to fraction form
    511.15/704.61 = 324.60/x
  3. Step 3: Cross multiply
    511.15x = 704.61 × 324.60
  4. Step 4: Simplify right side
    511.15x = 228,716.41
  5. Step 5: Solve for x
    x = 228,716.41/511.15
  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.