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Finding the Fourth Proportional to 385.58, 531.97 and 219.73

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Solution

The fourth proportional to 385.58, 531.97 and 219.73 is: 303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.58 : 531.97 = 219.73 : x
  2. Step 2: Convert to fraction form
    385.58/531.97 = 219.73/x
  3. Step 3: Cross multiply
    385.58x = 531.97 × 219.73
  4. Step 4: Simplify right side
    385.58x = 116,889.77
  5. Step 5: Solve for x
    x = 116,889.77/385.58
  6. Step 6: Final answer
    x = 303.15

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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.