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Finding the Fourth Proportional to 505.86, 758.43 and 323.34

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Solution

The fourth proportional to 505.86, 758.43 and 323.34 is: 484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.86 : 758.43 = 323.34 : x
  2. Step 2: Convert to fraction form
    505.86/758.43 = 323.34/x
  3. Step 3: Cross multiply
    505.86x = 758.43 × 323.34
  4. Step 4: Simplify right side
    505.86x = 245,230.76
  5. Step 5: Solve for x
    x = 245,230.76/505.86
  6. Step 6: Final answer
    x = 484.78

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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.