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Finding the Fourth Proportional to 613.83, 847.17 and 427.22

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Solution

The fourth proportional to 613.83, 847.17 and 427.22 is: 589.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.83 : 847.17 = 427.22 : x
  2. Step 2: Convert to fraction form
    613.83/847.17 = 427.22/x
  3. Step 3: Cross multiply
    613.83x = 847.17 × 427.22
  4. Step 4: Simplify right side
    613.83x = 361,923.73
  5. Step 5: Solve for x
    x = 361,923.73/613.83
  6. Step 6: Final answer
    x = 589.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.