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Finding the Fourth Proportional to 385.23, 531.62 and 219.44

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Solution

The fourth proportional to 385.23, 531.62 and 219.44 is: 302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.23 : 531.62 = 219.44 : x
  2. Step 2: Convert to fraction form
    385.23/531.62 = 219.44/x
  3. Step 3: Cross multiply
    385.23x = 531.62 × 219.44
  4. Step 4: Simplify right side
    385.23x = 116,657.20
  5. Step 5: Solve for x
    x = 116,657.20/385.23
  6. Step 6: Final answer
    x = 302.83

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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.