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Finding the Fourth Proportional to 463.38, 694.23 and 386.82

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Solution

The fourth proportional to 463.38, 694.23 and 386.82 is: 579.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.38 : 694.23 = 386.82 : x
  2. Step 2: Convert to fraction form
    463.38/694.23 = 386.82/x
  3. Step 3: Cross multiply
    463.38x = 694.23 × 386.82
  4. Step 4: Simplify right side
    463.38x = 268,542.05
  5. Step 5: Solve for x
    x = 268,542.05/463.38
  6. Step 6: Final answer
    x = 579.53

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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.