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Finding the Fourth Proportional to 557.25, 769.19 and 324.33

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Solution

The fourth proportional to 557.25, 769.19 and 324.33 is: 447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.25 : 769.19 = 324.33 : x
  2. Step 2: Convert to fraction form
    557.25/769.19 = 324.33/x
  3. Step 3: Cross multiply
    557.25x = 769.19 × 324.33
  4. Step 4: Simplify right side
    557.25x = 249,469.77
  5. Step 5: Solve for x
    x = 249,469.77/557.25
  6. Step 6: Final answer
    x = 447.68

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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.