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Finding the Fourth Proportional to 562.65, 843.27 and 197.22

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Solution

The fourth proportional to 562.65, 843.27 and 197.22 is: 295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.65 : 843.27 = 197.22 : x
  2. Step 2: Convert to fraction form
    562.65/843.27 = 197.22/x
  3. Step 3: Cross multiply
    562.65x = 843.27 × 197.22
  4. Step 4: Simplify right side
    562.65x = 166,309.71
  5. Step 5: Solve for x
    x = 166,309.71/562.65
  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.