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Finding the Fourth Proportional to 385.20, 531.58 and 219.43

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Solution

The fourth proportional to 385.20, 531.58 and 219.43 is: 302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.20 : 531.58 = 219.43 : x
  2. Step 2: Convert to fraction form
    385.20/531.58 = 219.43/x
  3. Step 3: Cross multiply
    385.20x = 531.58 × 219.43
  4. Step 4: Simplify right side
    385.20x = 116,644.60
  5. Step 5: Solve for x
    x = 116,644.60/385.20
  6. Step 6: Final answer
    x = 302.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.