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Finding the Fourth Proportional to 385.71, 532.23 and 217.68

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Solution

The fourth proportional to 385.71, 532.23 and 217.68 is: 300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.71 : 532.23 = 217.68 : x
  2. Step 2: Convert to fraction form
    385.71/532.23 = 217.68/x
  3. Step 3: Cross multiply
    385.71x = 532.23 × 217.68
  4. Step 4: Simplify right side
    385.71x = 115,855.83
  5. Step 5: Solve for x
    x = 115,855.83/385.71
  6. Step 6: Final answer
    x = 300.37

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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.