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Finding the Fourth Proportional to 447.24, 616.94 and 260.67

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Solution

The fourth proportional to 447.24, 616.94 and 260.67 is: 359.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.24 : 616.94 = 260.67 : x
  2. Step 2: Convert to fraction form
    447.24/616.94 = 260.67/x
  3. Step 3: Cross multiply
    447.24x = 616.94 × 260.67
  4. Step 4: Simplify right side
    447.24x = 160,813.36
  5. Step 5: Solve for x
    x = 160,813.36/447.24
  6. Step 6: Final answer
    x = 359.57

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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.