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Finding the Fourth Proportional to 385.20, 531.57 and 219.47

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Solution

The fourth proportional to 385.20, 531.57 and 219.47 is: 302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.20 : 531.57 = 219.47 : x
  2. Step 2: Convert to fraction form
    385.20/531.57 = 219.47/x
  3. Step 3: Cross multiply
    385.20x = 531.57 × 219.47
  4. Step 4: Simplify right side
    385.20x = 116,661.01
  5. Step 5: Solve for x
    x = 116,661.01/385.20
  6. Step 6: Final answer
    x = 302.86

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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.