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Finding the Fourth Proportional to 369.34, 509.68 and 211.97

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Solution

The fourth proportional to 369.34, 509.68 and 211.97 is: 292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.34 : 509.68 = 211.97 : x
  2. Step 2: Convert to fraction form
    369.34/509.68 = 211.97/x
  3. Step 3: Cross multiply
    369.34x = 509.68 × 211.97
  4. Step 4: Simplify right side
    369.34x = 108,033.26
  5. Step 5: Solve for x
    x = 108,033.26/369.34
  6. Step 6: Final answer
    x = 292.51

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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.