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Finding the Fourth Proportional to 604.28, 834.10 and 471.11

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Solution

The fourth proportional to 604.28, 834.10 and 471.11 is: 650.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.28 : 834.10 = 471.11 : x
  2. Step 2: Convert to fraction form
    604.28/834.10 = 471.11/x
  3. Step 3: Cross multiply
    604.28x = 834.10 × 471.11
  4. Step 4: Simplify right side
    604.28x = 392,947.50
  5. Step 5: Solve for x
    x = 392,947.50/604.28
  6. Step 6: Final answer
    x = 650.27

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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.