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Finding the Fourth Proportional to 447.42, 617.28 and 405.84

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Solution

The fourth proportional to 447.42, 617.28 and 405.84 is: 559.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.42 : 617.28 = 405.84 : x
  2. Step 2: Convert to fraction form
    447.42/617.28 = 405.84/x
  3. Step 3: Cross multiply
    447.42x = 617.28 × 405.84
  4. Step 4: Simplify right side
    447.42x = 250,516.92
  5. Step 5: Solve for x
    x = 250,516.92/447.42
  6. Step 6: Final answer
    x = 559.91

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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.