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Finding the Fourth Proportional to 562.64, 843.47 and 238.23

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Solution

The fourth proportional to 562.64, 843.47 and 238.23 is: 357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.64 : 843.47 = 238.23 : x
  2. Step 2: Convert to fraction form
    562.64/843.47 = 238.23/x
  3. Step 3: Cross multiply
    562.64x = 843.47 × 238.23
  4. Step 4: Simplify right side
    562.64x = 200,942.56
  5. Step 5: Solve for x
    x = 200,942.56/562.64
  6. Step 6: Final answer
    x = 357.14

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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.