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Finding the Fourth Proportional to 505.89, 759.24 and 382.37

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Solution

The fourth proportional to 505.89, 759.24 and 382.37 is: 573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.89 : 759.24 = 382.37 : x
  2. Step 2: Convert to fraction form
    505.89/759.24 = 382.37/x
  3. Step 3: Cross multiply
    505.89x = 759.24 × 382.37
  4. Step 4: Simplify right side
    505.89x = 290,306.80
  5. Step 5: Solve for x
    x = 290,306.80/505.89
  6. Step 6: Final answer
    x = 573.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.