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Finding the Fourth Proportional to 385.13, 531.49 and 219.37

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Solution

The fourth proportional to 385.13, 531.49 and 219.37 is: 302.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.13 : 531.49 = 219.37 : x
  2. Step 2: Convert to fraction form
    385.13/531.49 = 219.37/x
  3. Step 3: Cross multiply
    385.13x = 531.49 × 219.37
  4. Step 4: Simplify right side
    385.13x = 116,591.08
  5. Step 5: Solve for x
    x = 116,591.08/385.13
  6. Step 6: Final answer
    x = 302.73

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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.