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Finding the Fourth Proportional to 522.27, 720.09 and 325.71

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Solution

The fourth proportional to 522.27, 720.09 and 325.71 is: 449.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.27 : 720.09 = 325.71 : x
  2. Step 2: Convert to fraction form
    522.27/720.09 = 325.71/x
  3. Step 3: Cross multiply
    522.27x = 720.09 × 325.71
  4. Step 4: Simplify right side
    522.27x = 234,540.51
  5. Step 5: Solve for x
    x = 234,540.51/522.27
  6. Step 6: Final answer
    x = 449.08

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Why These Related Problems?

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