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Finding the Fourth Proportional to 613.08, 846.30 and 426.84

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Solution

The fourth proportional to 613.08, 846.30 and 426.84 is: 589.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.08 : 846.30 = 426.84 : x
  2. Step 2: Convert to fraction form
    613.08/846.30 = 426.84/x
  3. Step 3: Cross multiply
    613.08x = 846.30 × 426.84
  4. Step 4: Simplify right side
    613.08x = 361,234.69
  5. Step 5: Solve for x
    x = 361,234.69/613.08
  6. Step 6: Final answer
    x = 589.21

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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.