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Finding the Fourth Proportional to 369.11, 509.32 and 211.73

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Solution

The fourth proportional to 369.11, 509.32 and 211.73 is: 292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.11 : 509.32 = 211.73 : x
  2. Step 2: Convert to fraction form
    369.11/509.32 = 211.73/x
  3. Step 3: Cross multiply
    369.11x = 509.32 × 211.73
  4. Step 4: Simplify right side
    369.11x = 107,838.32
  5. Step 5: Solve for x
    x = 107,838.32/369.11
  6. Step 6: Final answer
    x = 292.16

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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.