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Finding the Fourth Proportional to 460.53, 634.23 and 329.31

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Solution

The fourth proportional to 460.53, 634.23 and 329.31 is: 453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.53 : 634.23 = 329.31 : x
  2. Step 2: Convert to fraction form
    460.53/634.23 = 329.31/x
  3. Step 3: Cross multiply
    460.53x = 634.23 × 329.31
  4. Step 4: Simplify right side
    460.53x = 208,858.28
  5. Step 5: Solve for x
    x = 208,858.28/460.53
  6. Step 6: Final answer
    x = 453.52

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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.