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Finding the Fourth Proportional to 460.45, 634.76 and 329.23

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Solution

The fourth proportional to 460.45, 634.76 and 329.23 is: 453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.45 : 634.76 = 329.23 : x
  2. Step 2: Convert to fraction form
    460.45/634.76 = 329.23/x
  3. Step 3: Cross multiply
    460.45x = 634.76 × 329.23
  4. Step 4: Simplify right side
    460.45x = 208,978.80
  5. Step 5: Solve for x
    x = 208,978.80/460.45
  6. Step 6: Final answer
    x = 453.86

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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.