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Finding the Fourth Proportional to 674.33, 930.69 and 394.57

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Solution

The fourth proportional to 674.33, 930.69 and 394.57 is: 544.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.33 : 930.69 = 394.57 : x
  2. Step 2: Convert to fraction form
    674.33/930.69 = 394.57/x
  3. Step 3: Cross multiply
    674.33x = 930.69 × 394.57
  4. Step 4: Simplify right side
    674.33x = 367,223.52
  5. Step 5: Solve for x
    x = 367,223.52/674.33
  6. Step 6: Final answer
    x = 544.58

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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.