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Finding the Fourth Proportional to 447.32, 617.46 and 337.11

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Solution

The fourth proportional to 447.32, 617.46 and 337.11 is: 465.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.32 : 617.46 = 337.11 : x
  2. Step 2: Convert to fraction form
    447.32/617.46 = 337.11/x
  3. Step 3: Cross multiply
    447.32x = 617.46 × 337.11
  4. Step 4: Simplify right side
    447.32x = 208,151.94
  5. Step 5: Solve for x
    x = 208,151.94/447.32
  6. Step 6: Final answer
    x = 465.34

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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.