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Finding the Fourth Proportional to 447.35, 617.61 and 307.71

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Solution

The fourth proportional to 447.35, 617.61 and 307.71 is: 424.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.35 : 617.61 = 307.71 : x
  2. Step 2: Convert to fraction form
    447.35/617.61 = 307.71/x
  3. Step 3: Cross multiply
    447.35x = 617.61 × 307.71
  4. Step 4: Simplify right side
    447.35x = 190,044.77
  5. Step 5: Solve for x
    x = 190,044.77/447.35
  6. Step 6: Final answer
    x = 424.83

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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.