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Finding the Fourth Proportional to 369.20, 509.32 and 213.92

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Solution

The fourth proportional to 369.20, 509.32 and 213.92 is: 295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.20 : 509.32 = 213.92 : x
  2. Step 2: Convert to fraction form
    369.20/509.32 = 213.92/x
  3. Step 3: Cross multiply
    369.20x = 509.32 × 213.92
  4. Step 4: Simplify right side
    369.20x = 108,953.73
  5. Step 5: Solve for x
    x = 108,953.73/369.20
  6. Step 6: Final answer
    x = 295.11

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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.