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Finding the Fourth Proportional to 505.89, 759.38 and 494.87

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Solution

The fourth proportional to 505.89, 759.38 and 494.87 is: 742.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.89 : 759.38 = 494.87 : x
  2. Step 2: Convert to fraction form
    505.89/759.38 = 494.87/x
  3. Step 3: Cross multiply
    505.89x = 759.38 × 494.87
  4. Step 4: Simplify right side
    505.89x = 375,788.11
  5. Step 5: Solve for x
    x = 375,788.11/505.89
  6. Step 6: Final answer
    x = 742.83

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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.