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Finding the Fourth Proportional to 377.09, 520.37 and 211.30

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Solution

The fourth proportional to 377.09, 520.37 and 211.30 is: 291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.09 : 520.37 = 211.30 : x
  2. Step 2: Convert to fraction form
    377.09/520.37 = 211.30/x
  3. Step 3: Cross multiply
    377.09x = 520.37 × 211.30
  4. Step 4: Simplify right side
    377.09x = 109,951.82
  5. Step 5: Solve for x
    x = 109,951.82/377.09
  6. Step 6: Final answer
    x = 291.58

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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.