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Finding the Fourth Proportional to 604.43, 834.13 and 427.71

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Solution

The fourth proportional to 604.43, 834.13 and 427.71 is: 590.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.43 : 834.13 = 427.71 : x
  2. Step 2: Convert to fraction form
    604.43/834.13 = 427.71/x
  3. Step 3: Cross multiply
    604.43x = 834.13 × 427.71
  4. Step 4: Simplify right side
    604.43x = 356,765.74
  5. Step 5: Solve for x
    x = 356,765.74/604.43
  6. Step 6: Final answer
    x = 590.25

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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.