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Finding the Fourth Proportional to 377.94, 521.82 and 290.82

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Solution

The fourth proportional to 377.94, 521.82 and 290.82 is: 401.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.94 : 521.82 = 290.82 : x
  2. Step 2: Convert to fraction form
    377.94/521.82 = 290.82/x
  3. Step 3: Cross multiply
    377.94x = 521.82 × 290.82
  4. Step 4: Simplify right side
    377.94x = 151,755.69
  5. Step 5: Solve for x
    x = 151,755.69/377.94
  6. Step 6: Final answer
    x = 401.53

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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.