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Finding the Fourth Proportional to 329.80, 464.16 and 329.80

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Solution

The fourth proportional to 329.80, 464.16 and 329.80 is: 464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.80 : 464.16 = 329.80 : x
  2. Step 2: Convert to fraction form
    329.80/464.16 = 329.80/x
  3. Step 3: Cross multiply
    329.80x = 464.16 × 329.80
  4. Step 4: Simplify right side
    329.80x = 153,079.97
  5. Step 5: Solve for x
    x = 153,079.97/329.80
  6. Step 6: Final answer
    x = 464.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.