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Finding the Fourth Proportional to 613.74, 846.94 and 351.84

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Solution

The fourth proportional to 613.74, 846.94 and 351.84 is: 485.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.74 : 846.94 = 351.84 : x
  2. Step 2: Convert to fraction form
    613.74/846.94 = 351.84/x
  3. Step 3: Cross multiply
    613.74x = 846.94 × 351.84
  4. Step 4: Simplify right side
    613.74x = 297,987.37
  5. Step 5: Solve for x
    x = 297,987.37/613.74
  6. Step 6: Final answer
    x = 485.53

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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.