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Finding the Fourth Proportional to 447.83, 671.84 and 265.36

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Solution

The fourth proportional to 447.83, 671.84 and 265.36 is: 398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.83 : 671.84 = 265.36 : x
  2. Step 2: Convert to fraction form
    447.83/671.84 = 265.36/x
  3. Step 3: Cross multiply
    447.83x = 671.84 × 265.36
  4. Step 4: Simplify right side
    447.83x = 178,279.46
  5. Step 5: Solve for x
    x = 178,279.46/447.83
  6. Step 6: Final answer
    x = 398.10

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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.