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Finding the Fourth Proportional to 447.76, 671.10 and 203.95

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Solution

The fourth proportional to 447.76, 671.10 and 203.95 is: 305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.76 : 671.10 = 203.95 : x
  2. Step 2: Convert to fraction form
    447.76/671.10 = 203.95/x
  3. Step 3: Cross multiply
    447.76x = 671.10 × 203.95
  4. Step 4: Simplify right side
    447.76x = 136,870.85
  5. Step 5: Solve for x
    x = 136,870.85/447.76
  6. Step 6: Final answer
    x = 305.68

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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.