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Finding the Fourth Proportional to 329.57, 493.29 and 175.11

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Solution

The fourth proportional to 329.57, 493.29 and 175.11 is: 262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.57 : 493.29 = 175.11 : x
  2. Step 2: Convert to fraction form
    329.57/493.29 = 175.11/x
  3. Step 3: Cross multiply
    329.57x = 493.29 × 175.11
  4. Step 4: Simplify right side
    329.57x = 86,380.94
  5. Step 5: Solve for x
    x = 86,380.94/329.57
  6. Step 6: Final answer
    x = 262.10

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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.