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Finding the Fourth Proportional to 377.27, 520.64 and 211.50

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Solution

The fourth proportional to 377.27, 520.64 and 211.50 is: 291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.27 : 520.64 = 211.50 : x
  2. Step 2: Convert to fraction form
    377.27/520.64 = 211.50/x
  3. Step 3: Cross multiply
    377.27x = 520.64 × 211.50
  4. Step 4: Simplify right side
    377.27x = 110,115.36
  5. Step 5: Solve for x
    x = 110,115.36/377.27
  6. Step 6: Final answer
    x = 291.87

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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.