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Finding the Fourth Proportional to 613.37, 845.84 and 411.08

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Solution

The fourth proportional to 613.37, 845.84 and 411.08 is: 566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.37 : 845.84 = 411.08 : x
  2. Step 2: Convert to fraction form
    613.37/845.84 = 411.08/x
  3. Step 3: Cross multiply
    613.37x = 845.84 × 411.08
  4. Step 4: Simplify right side
    613.37x = 347,704.71
  5. Step 5: Solve for x
    x = 347,704.71/613.37
  6. Step 6: Final answer
    x = 566.87

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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.