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Finding the Fourth Proportional to 463.98, 639.86 and 365.97

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Solution

The fourth proportional to 463.98, 639.86 and 365.97 is: 504.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.98 : 639.86 = 365.97 : x
  2. Step 2: Convert to fraction form
    463.98/639.86 = 365.97/x
  3. Step 3: Cross multiply
    463.98x = 639.86 × 365.97
  4. Step 4: Simplify right side
    463.98x = 234,167.73
  5. Step 5: Solve for x
    x = 234,167.73/463.98
  6. Step 6: Final answer
    x = 504.69

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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.