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Finding the Fourth Proportional to 604.40, 833.87 and 355.80

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Solution

The fourth proportional to 604.40, 833.87 and 355.80 is: 490.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.40 : 833.87 = 355.80 : x
  2. Step 2: Convert to fraction form
    604.40/833.87 = 355.80/x
  3. Step 3: Cross multiply
    604.40x = 833.87 × 355.80
  4. Step 4: Simplify right side
    604.40x = 296,694.96
  5. Step 5: Solve for x
    x = 296,694.96/604.40
  6. Step 6: Final answer
    x = 490.90

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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.