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Finding the Fourth Proportional to 604.62, 834.39 and 356.07

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Solution

The fourth proportional to 604.62, 834.39 and 356.07 is: 491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.62 : 834.39 = 356.07 : x
  2. Step 2: Convert to fraction form
    604.62/834.39 = 356.07/x
  3. Step 3: Cross multiply
    604.62x = 834.39 × 356.07
  4. Step 4: Simplify right side
    604.62x = 297,101.25
  5. Step 5: Solve for x
    x = 297,101.25/604.62
  6. Step 6: Final answer
    x = 491.39

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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.