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Finding the Fourth Proportional to 562.30, 843.32 and 197.09

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Solution

The fourth proportional to 562.30, 843.32 and 197.09 is: 295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.30 : 843.32 = 197.09 : x
  2. Step 2: Convert to fraction form
    562.30/843.32 = 197.09/x
  3. Step 3: Cross multiply
    562.30x = 843.32 × 197.09
  4. Step 4: Simplify right side
    562.30x = 166,206.64
  5. Step 5: Solve for x
    x = 166,206.64/562.30
  6. Step 6: Final answer
    x = 295.58

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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.