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Finding the Fourth Proportional to 562.49, 843.93 and 408.15

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Solution

The fourth proportional to 562.49, 843.93 and 408.15 is: 612.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.49 : 843.93 = 408.15 : x
  2. Step 2: Convert to fraction form
    562.49/843.93 = 408.15/x
  3. Step 3: Cross multiply
    562.49x = 843.93 × 408.15
  4. Step 4: Simplify right side
    562.49x = 344,450.03
  5. Step 5: Solve for x
    x = 344,450.03/562.49
  6. Step 6: Final answer
    x = 612.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.