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Finding the Fourth Proportional to 377.73, 521.27 and 211.93

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Solution

The fourth proportional to 377.73, 521.27 and 211.93 is: 292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.73 : 521.27 = 211.93 : x
  2. Step 2: Convert to fraction form
    377.73/521.27 = 211.93/x
  3. Step 3: Cross multiply
    377.73x = 521.27 × 211.93
  4. Step 4: Simplify right side
    377.73x = 110,473.28
  5. Step 5: Solve for x
    x = 110,473.28/377.73
  6. Step 6: Final answer
    x = 292.47

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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.