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Finding the Fourth Proportional to 329.08, 493.61 and 231.17

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Solution

The fourth proportional to 329.08, 493.61 and 231.17 is: 346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.08 : 493.61 = 231.17 : x
  2. Step 2: Convert to fraction form
    329.08/493.61 = 231.17/x
  3. Step 3: Cross multiply
    329.08x = 493.61 × 231.17
  4. Step 4: Simplify right side
    329.08x = 114,109.81
  5. Step 5: Solve for x
    x = 114,109.81/329.08
  6. Step 6: Final answer
    x = 346.76

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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.