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Finding the Fourth Proportional to 604.43, 834.14 and 456.81

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Solution

The fourth proportional to 604.43, 834.14 and 456.81 is: 630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.43 : 834.14 = 456.81 : x
  2. Step 2: Convert to fraction form
    604.43/834.14 = 456.81/x
  3. Step 3: Cross multiply
    604.43x = 834.14 × 456.81
  4. Step 4: Simplify right side
    604.43x = 381,043.49
  5. Step 5: Solve for x
    x = 381,043.49/604.43
  6. Step 6: Final answer
    x = 630.42

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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.