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Finding the Fourth Proportional to 614.05, 847.41 and 334.29

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Solution

The fourth proportional to 614.05, 847.41 and 334.29 is: 461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.05 : 847.41 = 334.29 : x
  2. Step 2: Convert to fraction form
    614.05/847.41 = 334.29/x
  3. Step 3: Cross multiply
    614.05x = 847.41 × 334.29
  4. Step 4: Simplify right side
    614.05x = 283,280.69
  5. Step 5: Solve for x
    x = 283,280.69/614.05
  6. Step 6: Final answer
    x = 461.33

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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.