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Finding the Fourth Proportional to 377.72, 521.29 and 211.96

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Solution

The fourth proportional to 377.72, 521.29 and 211.96 is: 292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.72 : 521.29 = 211.96 : x
  2. Step 2: Convert to fraction form
    377.72/521.29 = 211.96/x
  3. Step 3: Cross multiply
    377.72x = 521.29 × 211.96
  4. Step 4: Simplify right side
    377.72x = 110,492.10
  5. Step 5: Solve for x
    x = 110,492.10/377.72
  6. Step 6: Final answer
    x = 292.53

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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.