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Finding the Fourth Proportional to 505.44, 759.84 and 414.81

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Solution

The fourth proportional to 505.44, 759.84 and 414.81 is: 623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.44 : 759.84 = 414.81 : x
  2. Step 2: Convert to fraction form
    505.44/759.84 = 414.81/x
  3. Step 3: Cross multiply
    505.44x = 759.84 × 414.81
  4. Step 4: Simplify right side
    505.44x = 315,189.23
  5. Step 5: Solve for x
    x = 315,189.23/505.44
  6. Step 6: Final answer
    x = 623.59

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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.