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Finding the Fourth Proportional to 363.84, 498.60 and 329.28

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Solution

The fourth proportional to 363.84, 498.60 and 329.28 is: 451.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.84 : 498.60 = 329.28 : x
  2. Step 2: Convert to fraction form
    363.84/498.60 = 329.28/x
  3. Step 3: Cross multiply
    363.84x = 498.60 × 329.28
  4. Step 4: Simplify right side
    363.84x = 164,179.01
  5. Step 5: Solve for x
    x = 164,179.01/363.84
  6. Step 6: Final answer
    x = 451.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.