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Finding the Fourth Proportional to 613.26, 846.68 and 421.95

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Solution

The fourth proportional to 613.26, 846.68 and 421.95 is: 582.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.26 : 846.68 = 421.95 : x
  2. Step 2: Convert to fraction form
    613.26/846.68 = 421.95/x
  3. Step 3: Cross multiply
    613.26x = 846.68 × 421.95
  4. Step 4: Simplify right side
    613.26x = 357,257.69
  5. Step 5: Solve for x
    x = 357,257.69/613.26
  6. Step 6: Final answer
    x = 582.56

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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.