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Finding the Fourth Proportional to 674.50, 930.59 and 408.86

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Solution

The fourth proportional to 674.50, 930.59 and 408.86 is: 564.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.50 : 930.59 = 408.86 : x
  2. Step 2: Convert to fraction form
    674.50/930.59 = 408.86/x
  3. Step 3: Cross multiply
    674.50x = 930.59 × 408.86
  4. Step 4: Simplify right side
    674.50x = 380,476.37
  5. Step 5: Solve for x
    x = 380,476.37/674.50
  6. Step 6: Final answer
    x = 564.09

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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.