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Finding the Fourth Proportional to 463.14, 694.68 and 280.49

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Solution

The fourth proportional to 463.14, 694.68 and 280.49 is: 420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.14 : 694.68 = 280.49 : x
  2. Step 2: Convert to fraction form
    463.14/694.68 = 280.49/x
  3. Step 3: Cross multiply
    463.14x = 694.68 × 280.49
  4. Step 4: Simplify right side
    463.14x = 194,847.32
  5. Step 5: Solve for x
    x = 194,847.32/463.14
  6. Step 6: Final answer
    x = 420.71

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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.