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Finding the Fourth Proportional to 338.19, 508.23 and 329.96

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Solution

The fourth proportional to 338.19, 508.23 and 329.96 is: 495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.19 : 508.23 = 329.96 : x
  2. Step 2: Convert to fraction form
    338.19/508.23 = 329.96/x
  3. Step 3: Cross multiply
    338.19x = 508.23 × 329.96
  4. Step 4: Simplify right side
    338.19x = 167,693.03
  5. Step 5: Solve for x
    x = 167,693.03/338.19
  6. Step 6: Final answer
    x = 495.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.