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Finding the Fourth Proportional to 558.74, 835.94 and 404.96

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Solution

The fourth proportional to 558.74, 835.94 and 404.96 is: 605.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.74 : 835.94 = 404.96 : x
  2. Step 2: Convert to fraction form
    558.74/835.94 = 404.96/x
  3. Step 3: Cross multiply
    558.74x = 835.94 × 404.96
  4. Step 4: Simplify right side
    558.74x = 338,522.26
  5. Step 5: Solve for x
    x = 338,522.26/558.74
  6. Step 6: Final answer
    x = 605.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.