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Finding the Fourth Proportional to 377.41, 520.74 and 211.60

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Solution

The fourth proportional to 377.41, 520.74 and 211.60 is: 291.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.41 : 520.74 = 211.60 : x
  2. Step 2: Convert to fraction form
    377.41/520.74 = 211.60/x
  3. Step 3: Cross multiply
    377.41x = 520.74 × 211.60
  4. Step 4: Simplify right side
    377.41x = 110,185.98
  5. Step 5: Solve for x
    x = 110,185.98/377.41
  6. Step 6: Final answer
    x = 291.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.