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Finding the Fourth Proportional to 447.13, 617.11 and 307.27

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Solution

The fourth proportional to 447.13, 617.11 and 307.27 is: 424.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.13 : 617.11 = 307.27 : x
  2. Step 2: Convert to fraction form
    447.13/617.11 = 307.27/x
  3. Step 3: Cross multiply
    447.13x = 617.11 × 307.27
  4. Step 4: Simplify right side
    447.13x = 189,617.08
  5. Step 5: Solve for x
    x = 189,617.08/447.13
  6. Step 6: Final answer
    x = 424.08

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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.