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Finding the Fourth Proportional to 674.55, 930.91 and 394.81

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Solution

The fourth proportional to 674.55, 930.91 and 394.81 is: 544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.55 : 930.91 = 394.81 : x
  2. Step 2: Convert to fraction form
    674.55/930.91 = 394.81/x
  3. Step 3: Cross multiply
    674.55x = 930.91 × 394.81
  4. Step 4: Simplify right side
    674.55x = 367,534.05
  5. Step 5: Solve for x
    x = 367,534.05/674.55
  6. Step 6: Final answer
    x = 544.86

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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.