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Finding the Fourth Proportional to 562.36, 843.64 and 197.06

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Solution

The fourth proportional to 562.36, 843.64 and 197.06 is: 295.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.36 : 843.64 = 197.06 : x
  2. Step 2: Convert to fraction form
    562.36/843.64 = 197.06/x
  3. Step 3: Cross multiply
    562.36x = 843.64 × 197.06
  4. Step 4: Simplify right side
    562.36x = 166,247.70
  5. Step 5: Solve for x
    x = 166,247.70/562.36
  6. Step 6: Final answer
    x = 295.63

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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.