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Finding the Fourth Proportional to 369.12, 509.34 and 211.78

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Solution

The fourth proportional to 369.12, 509.34 and 211.78 is: 292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.12 : 509.34 = 211.78 : x
  2. Step 2: Convert to fraction form
    369.12/509.34 = 211.78/x
  3. Step 3: Cross multiply
    369.12x = 509.34 × 211.78
  4. Step 4: Simplify right side
    369.12x = 107,868.03
  5. Step 5: Solve for x
    x = 107,868.03/369.12
  6. Step 6: Final answer
    x = 292.23

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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.