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Finding the Fourth Proportional to 674.33, 930.02 and 425.21

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Solution

The fourth proportional to 674.33, 930.02 and 425.21 is: 586.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.33 : 930.02 = 425.21 : x
  2. Step 2: Convert to fraction form
    674.33/930.02 = 425.21/x
  3. Step 3: Cross multiply
    674.33x = 930.02 × 425.21
  4. Step 4: Simplify right side
    674.33x = 395,447.03
  5. Step 5: Solve for x
    x = 395,447.03/674.33
  6. Step 6: Final answer
    x = 586.43

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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.