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Finding the Fourth Proportional to 522.49, 720.89 and 325.93

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Solution

The fourth proportional to 522.49, 720.89 and 325.93 is: 449.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.49 : 720.89 = 325.93 : x
  2. Step 2: Convert to fraction form
    522.49/720.89 = 325.93/x
  3. Step 3: Cross multiply
    522.49x = 720.89 × 325.93
  4. Step 4: Simplify right side
    522.49x = 234,958.05
  5. Step 5: Solve for x
    x = 234,958.05/522.49
  6. Step 6: Final answer
    x = 449.69

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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.