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Finding the Fourth Proportional to 329.38, 493.67 and 175.30

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Solution

The fourth proportional to 329.38, 493.67 and 175.30 is: 262.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.38 : 493.67 = 175.30 : x
  2. Step 2: Convert to fraction form
    329.38/493.67 = 175.30/x
  3. Step 3: Cross multiply
    329.38x = 493.67 × 175.30
  4. Step 4: Simplify right side
    329.38x = 86,539.47
  5. Step 5: Solve for x
    x = 86,539.47/329.38
  6. Step 6: Final answer
    x = 262.73

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