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Finding the Fourth Proportional to 328.24, 491.44 and 255.04

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Solution

The fourth proportional to 328.24, 491.44 and 255.04 is: 381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.24 : 491.44 = 255.04 : x
  2. Step 2: Convert to fraction form
    328.24/491.44 = 255.04/x
  3. Step 3: Cross multiply
    328.24x = 491.44 × 255.04
  4. Step 4: Simplify right side
    328.24x = 125,336.86
  5. Step 5: Solve for x
    x = 125,336.86/328.24
  6. Step 6: Final answer
    x = 381.85

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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.