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Finding the Fourth Proportional to 377.23, 520.56 and 211.45

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Solution

The fourth proportional to 377.23, 520.56 and 211.45 is: 291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.23 : 520.56 = 211.45 : x
  2. Step 2: Convert to fraction form
    377.23/520.56 = 211.45/x
  3. Step 3: Cross multiply
    377.23x = 520.56 × 211.45
  4. Step 4: Simplify right side
    377.23x = 110,072.41
  5. Step 5: Solve for x
    x = 110,072.41/377.23
  6. Step 6: Final answer
    x = 291.79

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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.