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Finding the Fourth Proportional to 255.74, 384.11 and 219.47

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Solution

The fourth proportional to 255.74, 384.11 and 219.47 is: 329.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.74 : 384.11 = 219.47 : x
  2. Step 2: Convert to fraction form
    255.74/384.11 = 219.47/x
  3. Step 3: Cross multiply
    255.74x = 384.11 × 219.47
  4. Step 4: Simplify right side
    255.74x = 84,297.60
  5. Step 5: Solve for x
    x = 84,297.60/255.74
  6. Step 6: Final answer
    x = 329.63

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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.