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Finding the Fourth Proportional to 460.82, 634.03 and 349.65

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Solution

The fourth proportional to 460.82, 634.03 and 349.65 is: 481.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.82 : 634.03 = 349.65 : x
  2. Step 2: Convert to fraction form
    460.82/634.03 = 349.65/x
  3. Step 3: Cross multiply
    460.82x = 634.03 × 349.65
  4. Step 4: Simplify right side
    460.82x = 221,687.72
  5. Step 5: Solve for x
    x = 221,687.72/460.82
  6. Step 6: Final answer
    x = 481.07

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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.