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Finding the Fourth Proportional to 460.59, 634.73 and 329.37

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Solution

The fourth proportional to 460.59, 634.73 and 329.37 is: 453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.59 : 634.73 = 329.37 : x
  2. Step 2: Convert to fraction form
    460.59/634.73 = 329.37/x
  3. Step 3: Cross multiply
    460.59x = 634.73 × 329.37
  4. Step 4: Simplify right side
    460.59x = 209,058.67
  5. Step 5: Solve for x
    x = 209,058.67/460.59
  6. Step 6: Final answer
    x = 453.90

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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.