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Finding the Fourth Proportional to 463.56, 694.26 and 450.60

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Solution

The fourth proportional to 463.56, 694.26 and 450.60 is: 674.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.56 : 694.26 = 450.60 : x
  2. Step 2: Convert to fraction form
    463.56/694.26 = 450.60/x
  3. Step 3: Cross multiply
    463.56x = 694.26 × 450.60
  4. Step 4: Simplify right side
    463.56x = 312,833.56
  5. Step 5: Solve for x
    x = 312,833.56/463.56
  6. Step 6: Final answer
    x = 674.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.