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Finding the Fourth Proportional to 562.29, 843.44 and 172.28

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Solution

The fourth proportional to 562.29, 843.44 and 172.28 is: 258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.29 : 843.44 = 172.28 : x
  2. Step 2: Convert to fraction form
    562.29/843.44 = 172.28/x
  3. Step 3: Cross multiply
    562.29x = 843.44 × 172.28
  4. Step 4: Simplify right side
    562.29x = 145,304.16
  5. Step 5: Solve for x
    x = 145,304.16/562.29
  6. Step 6: Final answer
    x = 258.41

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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.