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Finding the Fourth Proportional to 604.54, 834.23 and 355.91

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Solution

The fourth proportional to 604.54, 834.23 and 355.91 is: 491.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.54 : 834.23 = 355.91 : x
  2. Step 2: Convert to fraction form
    604.54/834.23 = 355.91/x
  3. Step 3: Cross multiply
    604.54x = 834.23 × 355.91
  4. Step 4: Simplify right side
    604.54x = 296,906.93
  5. Step 5: Solve for x
    x = 296,906.93/604.54
  6. Step 6: Final answer
    x = 491.13

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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.