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Finding the Fourth Proportional to 447.42, 616.83 and 289.77

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Solution

The fourth proportional to 447.42, 616.83 and 289.77 is: 399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.42 : 616.83 = 289.77 : x
  2. Step 2: Convert to fraction form
    447.42/616.83 = 289.77/x
  3. Step 3: Cross multiply
    447.42x = 616.83 × 289.77
  4. Step 4: Simplify right side
    447.42x = 178,738.83
  5. Step 5: Solve for x
    x = 178,738.83/447.42
  6. Step 6: Final answer
    x = 399.49

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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.