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Finding the Fourth Proportional to 522.83, 720.82 and 449.93

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Solution

The fourth proportional to 522.83, 720.82 and 449.93 is: 620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.83 : 720.82 = 449.93 : x
  2. Step 2: Convert to fraction form
    522.83/720.82 = 449.93/x
  3. Step 3: Cross multiply
    522.83x = 720.82 × 449.93
  4. Step 4: Simplify right side
    522.83x = 324,318.54
  5. Step 5: Solve for x
    x = 324,318.54/522.83
  6. Step 6: Final answer
    x = 620.31

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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.