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Finding the Fourth Proportional to 447.75, 617.90 and 292.77

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Solution

The fourth proportional to 447.75, 617.90 and 292.77 is: 404.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.75 : 617.90 = 292.77 : x
  2. Step 2: Convert to fraction form
    447.75/617.90 = 292.77/x
  3. Step 3: Cross multiply
    447.75x = 617.90 × 292.77
  4. Step 4: Simplify right side
    447.75x = 180,901.12
  5. Step 5: Solve for x
    x = 180,901.12/447.75
  6. Step 6: Final answer
    x = 404.02

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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.