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Finding the Fourth Proportional to 447.14, 617.06 and 260.67

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Solution

The fourth proportional to 447.14, 617.06 and 260.67 is: 359.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.14 : 617.06 = 260.67 : x
  2. Step 2: Convert to fraction form
    447.14/617.06 = 260.67/x
  3. Step 3: Cross multiply
    447.14x = 617.06 × 260.67
  4. Step 4: Simplify right side
    447.14x = 160,847.73
  5. Step 5: Solve for x
    x = 160,847.73/447.14
  6. Step 6: Final answer
    x = 359.73

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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.