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Finding the Fourth Proportional to 613.70, 846.89 and 333.94

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Solution

The fourth proportional to 613.70, 846.89 and 333.94 is: 460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.70 : 846.89 = 333.94 : x
  2. Step 2: Convert to fraction form
    613.70/846.89 = 333.94/x
  3. Step 3: Cross multiply
    613.70x = 846.89 × 333.94
  4. Step 4: Simplify right side
    613.70x = 282,810.45
  5. Step 5: Solve for x
    x = 282,810.45/613.70
  6. Step 6: Final answer
    x = 460.83

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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.