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Finding the Fourth Proportional to 404.82, 558.71 and 306.41

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Solution

The fourth proportional to 404.82, 558.71 and 306.41 is: 422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.82 : 558.71 = 306.41 : x
  2. Step 2: Convert to fraction form
    404.82/558.71 = 306.41/x
  3. Step 3: Cross multiply
    404.82x = 558.71 × 306.41
  4. Step 4: Simplify right side
    404.82x = 171,190.01
  5. Step 5: Solve for x
    x = 171,190.01/404.82
  6. Step 6: Final answer
    x = 422.88

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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.