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Finding the Fourth Proportional to 522.13, 720.33 and 325.72

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Solution

The fourth proportional to 522.13, 720.33 and 325.72 is: 449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.13 : 720.33 = 325.72 : x
  2. Step 2: Convert to fraction form
    522.13/720.33 = 325.72/x
  3. Step 3: Cross multiply
    522.13x = 720.33 × 325.72
  4. Step 4: Simplify right side
    522.13x = 234,625.89
  5. Step 5: Solve for x
    x = 234,625.89/522.13
  6. Step 6: Final answer
    x = 449.36

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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.