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Finding the Fourth Proportional to 562.36, 843.32 and 172.24

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Solution

The fourth proportional to 562.36, 843.32 and 172.24 is: 258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.36 : 843.32 = 172.24 : x
  2. Step 2: Convert to fraction form
    562.36/843.32 = 172.24/x
  3. Step 3: Cross multiply
    562.36x = 843.32 × 172.24
  4. Step 4: Simplify right side
    562.36x = 145,253.44
  5. Step 5: Solve for x
    x = 145,253.44/562.36
  6. Step 6: Final answer
    x = 258.29

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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.