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Finding the Fourth Proportional to 338.38, 463.91 and 329.20

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Solution

The fourth proportional to 338.38, 463.91 and 329.20 is: 451.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.38 : 463.91 = 329.20 : x
  2. Step 2: Convert to fraction form
    338.38/463.91 = 329.20/x
  3. Step 3: Cross multiply
    338.38x = 463.91 × 329.20
  4. Step 4: Simplify right side
    338.38x = 152,718.22
  5. Step 5: Solve for x
    x = 152,718.22/338.38
  6. Step 6: Final answer
    x = 451.32

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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.