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Finding the Fourth Proportional to 447.36, 617.76 and 300

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Solution

The fourth proportional to 447.36, 617.76 and 300 is: 414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.36 : 617.76 = 300 : x
  2. Step 2: Convert to fraction form
    447.36/617.76 = 300/x
  3. Step 3: Cross multiply
    447.36x = 617.76 × 300
  4. Step 4: Simplify right side
    447.36x = 185,328
  5. Step 5: Solve for x
    x = 185,328/447.36
  6. Step 6: Final answer
    x = 414.27

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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.