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Finding the Fourth Proportional to 328.53, 493.24 and 231.65

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Solution

The fourth proportional to 328.53, 493.24 and 231.65 is: 347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.53 : 493.24 = 231.65 : x
  2. Step 2: Convert to fraction form
    328.53/493.24 = 231.65/x
  3. Step 3: Cross multiply
    328.53x = 493.24 × 231.65
  4. Step 4: Simplify right side
    328.53x = 114,259.05
  5. Step 5: Solve for x
    x = 114,259.05/328.53
  6. Step 6: Final answer
    x = 347.79

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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.