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Finding the Fourth Proportional to 447.33, 670.91 and 203.80

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Solution

The fourth proportional to 447.33, 670.91 and 203.80 is: 305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.33 : 670.91 = 203.80 : x
  2. Step 2: Convert to fraction form
    447.33/670.91 = 203.80/x
  3. Step 3: Cross multiply
    447.33x = 670.91 × 203.80
  4. Step 4: Simplify right side
    447.33x = 136,730.59
  5. Step 5: Solve for x
    x = 136,730.59/447.33
  6. Step 6: Final answer
    x = 305.66

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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.