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Finding the Fourth Proportional to 674.33, 930.11 and 412.48

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Solution

The fourth proportional to 674.33, 930.11 and 412.48 is: 568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.33 : 930.11 = 412.48 : x
  2. Step 2: Convert to fraction form
    674.33/930.11 = 412.48/x
  3. Step 3: Cross multiply
    674.33x = 930.11 × 412.48
  4. Step 4: Simplify right side
    674.33x = 383,650.48
  5. Step 5: Solve for x
    x = 383,650.48/674.33
  6. Step 6: Final answer
    x = 568.93

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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.