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Finding the Fourth Proportional to 613.32, 846.42 and 351.24

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Solution

The fourth proportional to 613.32, 846.42 and 351.24 is: 484.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.32 : 846.42 = 351.24 : x
  2. Step 2: Convert to fraction form
    613.32/846.42 = 351.24/x
  3. Step 3: Cross multiply
    613.32x = 846.42 × 351.24
  4. Step 4: Simplify right side
    613.32x = 297,296.56
  5. Step 5: Solve for x
    x = 297,296.56/613.32
  6. Step 6: Final answer
    x = 484.73

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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.