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Finding the Fourth Proportional to 404.88, 558.36 and 255.33

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Solution

The fourth proportional to 404.88, 558.36 and 255.33 is: 352.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.88 : 558.36 = 255.33 : x
  2. Step 2: Convert to fraction form
    404.88/558.36 = 255.33/x
  3. Step 3: Cross multiply
    404.88x = 558.36 × 255.33
  4. Step 4: Simplify right side
    404.88x = 142,566.06
  5. Step 5: Solve for x
    x = 142,566.06/404.88
  6. Step 6: Final answer
    x = 352.12

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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.