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Finding the Fourth Proportional to 377.43, 520.80 and 211.63

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Solution

The fourth proportional to 377.43, 520.80 and 211.63 is: 292.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.43 : 520.80 = 211.63 : x
  2. Step 2: Convert to fraction form
    377.43/520.80 = 211.63/x
  3. Step 3: Cross multiply
    377.43x = 520.80 × 211.63
  4. Step 4: Simplify right side
    377.43x = 110,216.51
  5. Step 5: Solve for x
    x = 110,216.51/377.43
  6. Step 6: Final answer
    x = 292.02

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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.