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Finding the Fourth Proportional to 447.14, 670.71 and 202.92

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Solution

The fourth proportional to 447.14, 670.71 and 202.92 is: 304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.14 : 670.71 = 202.92 : x
  2. Step 2: Convert to fraction form
    447.14/670.71 = 202.92/x
  3. Step 3: Cross multiply
    447.14x = 670.71 × 202.92
  4. Step 4: Simplify right side
    447.14x = 136,100.47
  5. Step 5: Solve for x
    x = 136,100.47/447.14
  6. Step 6: Final answer
    x = 304.38

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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.