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Finding the Fourth Proportional to 522.27, 719.09 and 443.43

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Solution

The fourth proportional to 522.27, 719.09 and 443.43 is: 610.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.27 : 719.09 = 443.43 : x
  2. Step 2: Convert to fraction form
    522.27/719.09 = 443.43/x
  3. Step 3: Cross multiply
    522.27x = 719.09 × 443.43
  4. Step 4: Simplify right side
    522.27x = 318,866.08
  5. Step 5: Solve for x
    x = 318,866.08/522.27
  6. Step 6: Final answer
    x = 610.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.