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Finding the Fourth Proportional to 604.62, 834.38 and 328.62

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Solution

The fourth proportional to 604.62, 834.38 and 328.62 is: 453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.62 : 834.38 = 328.62 : x
  2. Step 2: Convert to fraction form
    604.62/834.38 = 328.62/x
  3. Step 3: Cross multiply
    604.62x = 834.38 × 328.62
  4. Step 4: Simplify right side
    604.62x = 274,193.96
  5. Step 5: Solve for x
    x = 274,193.96/604.62
  6. Step 6: Final answer
    x = 453.50

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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.