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Finding the Fourth Proportional to 523.33, 782.87 and 385.43

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Solution

The fourth proportional to 523.33, 782.87 and 385.43 is: 576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.33 : 782.87 = 385.43 : x
  2. Step 2: Convert to fraction form
    523.33/782.87 = 385.43/x
  3. Step 3: Cross multiply
    523.33x = 782.87 × 385.43
  4. Step 4: Simplify right side
    523.33x = 301,735.74
  5. Step 5: Solve for x
    x = 301,735.74/523.33
  6. Step 6: Final answer
    x = 576.57

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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.