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Finding the Fourth Proportional to 562.74, 843.14 and 367.44

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Solution

The fourth proportional to 562.74, 843.14 and 367.44 is: 550.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.74 : 843.14 = 367.44 : x
  2. Step 2: Convert to fraction form
    562.74/843.14 = 367.44/x
  3. Step 3: Cross multiply
    562.74x = 843.14 × 367.44
  4. Step 4: Simplify right side
    562.74x = 309,801.52
  5. Step 5: Solve for x
    x = 309,801.52/562.74
  6. Step 6: Final answer
    x = 550.52

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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.