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Finding the Fourth Proportional to 522.36, 720.90 and 325.86

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Solution

The fourth proportional to 522.36, 720.90 and 325.86 is: 449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.36 : 720.90 = 325.86 : x
  2. Step 2: Convert to fraction form
    522.36/720.90 = 325.86/x
  3. Step 3: Cross multiply
    522.36x = 720.90 × 325.86
  4. Step 4: Simplify right side
    522.36x = 234,912.47
  5. Step 5: Solve for x
    x = 234,912.47/522.36
  6. Step 6: Final answer
    x = 449.71

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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.