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Finding the Fourth Proportional to 385.75, 532.34 and 211.09

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Solution

The fourth proportional to 385.75, 532.34 and 211.09 is: 291.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.75 : 532.34 = 211.09 : x
  2. Step 2: Convert to fraction form
    385.75/532.34 = 211.09/x
  3. Step 3: Cross multiply
    385.75x = 532.34 × 211.09
  4. Step 4: Simplify right side
    385.75x = 112,371.65
  5. Step 5: Solve for x
    x = 112,371.65/385.75
  6. Step 6: Final answer
    x = 291.31

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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.