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Finding the Fourth Proportional to 385.16, 531.48 and 219.37

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Solution

The fourth proportional to 385.16, 531.48 and 219.37 is: 302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.16 : 531.48 = 219.37 : x
  2. Step 2: Convert to fraction form
    385.16/531.48 = 219.37/x
  3. Step 3: Cross multiply
    385.16x = 531.48 × 219.37
  4. Step 4: Simplify right side
    385.16x = 116,589.44
  5. Step 5: Solve for x
    x = 116,589.44/385.16
  6. Step 6: Final answer
    x = 302.70

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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.