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Finding the Fourth Proportional to 604.40, 834.06 and 355.70

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Solution

The fourth proportional to 604.40, 834.06 and 355.70 is: 490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.40 : 834.06 = 355.70 : x
  2. Step 2: Convert to fraction form
    604.40/834.06 = 355.70/x
  3. Step 3: Cross multiply
    604.40x = 834.06 × 355.70
  4. Step 4: Simplify right side
    604.40x = 296,675.14
  5. Step 5: Solve for x
    x = 296,675.14/604.40
  6. Step 6: Final answer
    x = 490.86

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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.