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Finding the Fourth Proportional to 603.80, 906.12 and 329.82

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Solution

The fourth proportional to 603.80, 906.12 and 329.82 is: 494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.80 : 906.12 = 329.82 : x
  2. Step 2: Convert to fraction form
    603.80/906.12 = 329.82/x
  3. Step 3: Cross multiply
    603.80x = 906.12 × 329.82
  4. Step 4: Simplify right side
    603.80x = 298,856.50
  5. Step 5: Solve for x
    x = 298,856.50/603.80
  6. Step 6: Final answer
    x = 494.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.