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Finding the Fourth Proportional to 447.50, 617.70 and 296.09

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Solution

The fourth proportional to 447.50, 617.70 and 296.09 is: 408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.50 : 617.70 = 296.09 : x
  2. Step 2: Convert to fraction form
    447.50/617.70 = 296.09/x
  3. Step 3: Cross multiply
    447.50x = 617.70 × 296.09
  4. Step 4: Simplify right side
    447.50x = 182,894.79
  5. Step 5: Solve for x
    x = 182,894.79/447.50
  6. Step 6: Final answer
    x = 408.70

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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.