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Finding the Fourth Proportional to 505.88, 758.11 and 396.33

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Solution

The fourth proportional to 505.88, 758.11 and 396.33 is: 593.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.88 : 758.11 = 396.33 : x
  2. Step 2: Convert to fraction form
    505.88/758.11 = 396.33/x
  3. Step 3: Cross multiply
    505.88x = 758.11 × 396.33
  4. Step 4: Simplify right side
    505.88x = 300,461.74
  5. Step 5: Solve for x
    x = 300,461.74/505.88
  6. Step 6: Final answer
    x = 593.94

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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.