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Finding the Fourth Proportional to 335.76, 460.89 and 329.64

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Solution

The fourth proportional to 335.76, 460.89 and 329.64 is: 452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.76 : 460.89 = 329.64 : x
  2. Step 2: Convert to fraction form
    335.76/460.89 = 329.64/x
  3. Step 3: Cross multiply
    335.76x = 460.89 × 329.64
  4. Step 4: Simplify right side
    335.76x = 151,927.78
  5. Step 5: Solve for x
    x = 151,927.78/335.76
  6. Step 6: Final answer
    x = 452.49

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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.