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Finding the Fourth Proportional to 447.57, 617.82 and 300.15

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Solution

The fourth proportional to 447.57, 617.82 and 300.15 is: 414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.57 : 617.82 = 300.15 : x
  2. Step 2: Convert to fraction form
    447.57/617.82 = 300.15/x
  3. Step 3: Cross multiply
    447.57x = 617.82 × 300.15
  4. Step 4: Simplify right side
    447.57x = 185,438.67
  5. Step 5: Solve for x
    x = 185,438.67/447.57
  6. Step 6: Final answer
    x = 414.32

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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.