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Finding the Fourth Proportional to 385.87, 532.50 and 211.21

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Solution

The fourth proportional to 385.87, 532.50 and 211.21 is: 291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.87 : 532.50 = 211.21 : x
  2. Step 2: Convert to fraction form
    385.87/532.50 = 211.21/x
  3. Step 3: Cross multiply
    385.87x = 532.50 × 211.21
  4. Step 4: Simplify right side
    385.87x = 112,469.33
  5. Step 5: Solve for x
    x = 112,469.33/385.87
  6. Step 6: Final answer
    x = 291.47

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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.