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Finding the Fourth Proportional to 447.75, 617.69 and 316.83

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Solution

The fourth proportional to 447.75, 617.69 and 316.83 is: 437.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.75 : 617.69 = 316.83 : x
  2. Step 2: Convert to fraction form
    447.75/617.69 = 316.83/x
  3. Step 3: Cross multiply
    447.75x = 617.69 × 316.83
  4. Step 4: Simplify right side
    447.75x = 195,701.14
  5. Step 5: Solve for x
    x = 195,701.14/447.75
  6. Step 6: Final answer
    x = 437.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.