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Finding the Fourth Proportional to 460.08, 634.08 and 329.04

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Solution

The fourth proportional to 460.08, 634.08 and 329.04 is: 453.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.08 : 634.08 = 329.04 : x
  2. Step 2: Convert to fraction form
    460.08/634.08 = 329.04/x
  3. Step 3: Cross multiply
    460.08x = 634.08 × 329.04
  4. Step 4: Simplify right side
    460.08x = 208,637.68
  5. Step 5: Solve for x
    x = 208,637.68/460.08
  6. Step 6: Final answer
    x = 453.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.