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Finding the Fourth Proportional to 447.72, 617.39 and 354.32

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Solution

The fourth proportional to 447.72, 617.39 and 354.32 is: 488.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.72 : 617.39 = 354.32 : x
  2. Step 2: Convert to fraction form
    447.72/617.39 = 354.32/x
  3. Step 3: Cross multiply
    447.72x = 617.39 × 354.32
  4. Step 4: Simplify right side
    447.72x = 218,756.05
  5. Step 5: Solve for x
    x = 218,756.05/447.72
  6. Step 6: Final answer
    x = 488.60

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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.