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Finding the Fourth Proportional to 404.89, 558.59 and 257.49

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Solution

The fourth proportional to 404.89, 558.59 and 257.49 is: 355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.89 : 558.59 = 257.49 : x
  2. Step 2: Convert to fraction form
    404.89/558.59 = 257.49/x
  3. Step 3: Cross multiply
    404.89x = 558.59 × 257.49
  4. Step 4: Simplify right side
    404.89x = 143,830.05
  5. Step 5: Solve for x
    x = 143,830.05/404.89
  6. Step 6: Final answer
    x = 355.23

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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.