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Finding the Fourth Proportional to 562.44, 843.72 and 172.43

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Solution

The fourth proportional to 562.44, 843.72 and 172.43 is: 258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.44 : 843.72 = 172.43 : x
  2. Step 2: Convert to fraction form
    562.44/843.72 = 172.43/x
  3. Step 3: Cross multiply
    562.44x = 843.72 × 172.43
  4. Step 4: Simplify right side
    562.44x = 145,482.64
  5. Step 5: Solve for x
    x = 145,482.64/562.44
  6. Step 6: Final answer
    x = 258.66

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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.