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Finding the Fourth Proportional to 385.71, 532.21 and 219.89

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Solution

The fourth proportional to 385.71, 532.21 and 219.89 is: 303.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.71 : 532.21 = 219.89 : x
  2. Step 2: Convert to fraction form
    385.71/532.21 = 219.89/x
  3. Step 3: Cross multiply
    385.71x = 532.21 × 219.89
  4. Step 4: Simplify right side
    385.71x = 117,027.66
  5. Step 5: Solve for x
    x = 117,027.66/385.71
  6. Step 6: Final answer
    x = 303.41

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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.