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Finding the Fourth Proportional to 522.56, 720.98 and 325.96

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Solution

The fourth proportional to 522.56, 720.98 and 325.96 is: 449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.56 : 720.98 = 325.96 : x
  2. Step 2: Convert to fraction form
    522.56/720.98 = 325.96/x
  3. Step 3: Cross multiply
    522.56x = 720.98 × 325.96
  4. Step 4: Simplify right side
    522.56x = 235,010.64
  5. Step 5: Solve for x
    x = 235,010.64/522.56
  6. Step 6: Final answer
    x = 449.73

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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.